Tiep, Pham Huu

• 2466423
  Kleshchev, Alexander S.(1-OR); Tiep, Pham Huu(1-FL)
  Representations of finite special linear groups in non-defining characteristic. (English summary)
  Adv. Math. 220 (2009), no. 2, 478--504.
  20C33 (20G40)
  
• 2453600
  Guralnick, Robert M.(1-SCA); Tiep, Pham Huu(1-FL)
  Symmetric powers and a problem of Kollár and Larsen. (English summary)
  Invent. Math. 174 (2008), no. 3, 505--554.
  14Lxx (20G05)
  
• 2448242
  Tiep, Pham Huu(1-FL); Zalesskiĭ, A. E.(4-EANG)
  Hall-Higman-type theorems for semisimple elements of finite classical groups. (English summary)
  Proc. Lond. Math. Soc. (3) 97 (2008), no. 3, 623--668.
  20C33 (20G40)
  
• 2446147
  Nguyen, Hung Ngoc(1-FL); Tiep, Pham Huu(1-FL)
  Cross characteristic representations of ${}\sp 3D\sb 4(q)$ are reducible over proper subgroups. (English summary)
  With an appendix by Frank Himstedt.
  J. Group Theory 11 (2008), no. 5, 657--668.
  20C33
  
• 2419005
  Moretó, Alexander(E-VLNC-AG); Tiep, Pham Huu(1-FL)
  Prime divisors of character degrees. (English summary)
  J. Group Theory 11 (2008), no. 3, 341--356.
  20C15
  
• 2403740
  Dolfi, Silvio(I-FRNZ); Navarro, Gabriel(E-VLNC); Tiep, Pham Huu(1-FL)
  Primes dividing the degrees of the real characters. (English summary)
  Math. Z. 259 (2008), no. 4, 755--774.
  20C15
  
• 2373321
  Navarro, Gabriel(E-VLNCM); Tiep, Pham Huu(1-FL)
  Rational irreducible characters and rational conjugacy classes in finite groups. (English summary)
  Trans. Amer. Math. Soc. 360 (2008), no. 5, 2443--2465.
  20C15 (20E45)
  
• 2365337
  Navarro, Gabriel(E-VLNCM); Tiep, Pham Huu(1-FL); Turull, Alexandre(1-FL)
  Brauer characters with cyclotomic field of values. (English summary)
  J. Pure Appl. Algebra 212 (2008), no. 3, 628--635.
  20C20
  
• 2363400
  Boykin, P. Oscar(1-FL-EL); Sitharam, Meera(1-FL-CIE); Tiep, Pham Huu(1-FL); Wocjan, Pawel(1-CAIT-QTI)
  Mutually unbiased bases and orthogonal decompositions of Lie algebras. (English summary)
  Quantum Inf. Comput. 7 (2007), no. 4, 371--382.
  81P68 (17Bxx 81P15)
  
• 2306612
  Navarro, Gabriel(E-VLNC-AG); Tiep, Pham Huu(1-FL); Turull, Alexandre(1-FL)
  $p$-rational characters and self-normalizing Sylow $p$-subgroups. (English summary)
  Represent. Theory 11 (2007), 84--94 (electronic).
  20C15 (20C33)
  
• 2275377
  Navarro, Gabriel(E-VLNCM); Sanus, Lucia(E-VLNCM); Tiep, Pham Huu(1-FL)
  Groups with two real Brauer characters.
  J. Algebra 307 (2007), no. 2, 891--898.
  20Cxx
  
• 2277689
  Bessenrodt, C.(D-HANNMP); Navarro, G.(E-VLNCM); Olsson, J. B.(DK-CPNH-MI); Tiep, P. H.(1-FL)
  On the Navarro-Willems conjecture for blocks of finite groups. (English summary)
  J. Pure Appl. Algebra 208 (2007), no. 2, 481--484.
  20C15 (20C30)
  
• 2271581
  Tiep, Pham Huu(1-FL)
  Finite groups admitting Grassmannian 4-designs. (English summary)
  J. Algebra 306 (2006), no. 1, 227--243.
  20Gxx
  
• 2231605
  Navarro, Gabriel(E-VLNCM); Tiep, Pham Huu(1-FL)
  Characters of $p'$-degree with cyclotomic field of values. (English summary)
  Proc. Amer. Math. Soc. 134 (2006), no. 10, 2833--2837 (electronic).
  20C15
  
• 2225783
  Guralnick, Robert M.(1-SCA); Magaard, Kay(1-WYNS); Saxl, Jan(4-CAMB); Tiep, Pham Huu(1-FL)
  Addendum: " Cross characteristic representations of symplectic and unitary groups" [J. Algebra 257 (2002), no. 2, 291--347; MR1947325 (2004b:20022)].
  J. Algebra 299 (2006), no. 1, 443--446.
  20G05 (20C33 20G40)
• 2221127
  Navarro, Gabriel(E-VLNCM); Tiep, Pham Huu(1-FL)
  Rational Brauer characters. (English. English summary)
  Math. Ann. 335 (2006), no. 3, 675--686.
  20C20
• 2173972
  Guralnick, Robert M.(1-SCA); Tiep, Pham Huu(1-FL)
  The non-coprime $k(GV)$ problem.
  J. Algebra 293 (2005), no. 1, 185--242.
  20C15 (05A15)
• 2163483
  Sin, Peter(1-FL); Tiep, Pham Huu(1-FL)
  Rank 3 permutation modules of the finite classical groups. (English. English summary)
  J. Algebra 291 (2005), no. 2, 551--606.
  20C33 (20G40)
• 2137972
  Tiep, Pham Huu(1-FL); Zalesski, A. E.(4-EANG)
  Real conjugacy classes in algebraic groups and finite groups of Lie type.
  J. Group Theory 8 (2005), no. 3, 291--315.
  20D06 (20E45 20Gxx)
• 2123127
  Guralnick, Robert M.(1-SCA); Tiep, Pham Huu(1-FL)
  Decompositions of small tensor powers and Larsen's conjecture. (English. English summary)
  Represent. Theory 9 (2005), 138--208 (electronic).
  20G05 (20Cxx)
• 2125062
  Finite groups 2003.
  Proceedings of the conference held in Gainesville, FL, March 6--12, 2003. Edited by C. Y. Ho, P. Sin, P. H. Tiep and A. Turull.
  Walter de Gruyter GmbH & Co. KG, Berlin, 2004. xvi+417 pp. ISBN 3-11-017447-2
  20-06
• 2084408
  Guralnick, Robert M.(1-SCA); Tiep, Pham Huu(1-FL)
  Cross characteristic representations of even characteristic symplectic groups. (English. English summary)
  Trans. Amer. Math. Soc. 356 (2004), no. 12, 4969--5023 (electronic).
  20C33 (20G40)
• 2031049
  Kleshchev, Alexander S.(1-OR); Tiep, Pham Huu(1-FL)
  On restrictions of modular spin representations of symmetric and alternating groups. (English. English summary)
  Trans. Amer. Math. Soc. 356 (2004), no. 5, 1971--1999 (electronic).
  20C25 (20C30)
• 2022486
  Tiep, Pham Huu(1-FL); Zalesski\u\i, A. E.(4-EANG)
  Unipotent elements of finite groups of Lie type and realization fields of their complex representations. (English. English summary)
  J. Algebra 271 (2004), no. 1, 327--390.
  20D06 (20C33)
• 2009319
  Lataille, J. M.(1-FL); Sin, Peter(1-FL); Tiep, Pham Huu(1-FL)
  The modulo 2 structure of rank 3 permutation modules for odd characteristic symplectic groups. (English. English summary)
  J. Algebra 268 (2003), no. 2, 463--483.
  20G40 (20G05)
• 1994973
  Tiep, Pham Huu(1-FL)
  Low dimensional representations of finite quasisimple groups.
  Groups, combinatorics & geometry (Durham, 2001), 277--294,
  World Sci. Publishing, River Edge, NJ, 2003.
  20C15
• 1983368
  Guralnick, Robert M.(1-SCA); Tiep, Pham Huu(1-FL)
  Finite simple unisingular groups of Lie type. (English. English summary)
  J. Group Theory 6 (2003), no. 3, 271--310.
  20D06
• 1947325
  Guralnick, Robert M.(1-UCLA); Magaard, Kay(1-WYNS); Saxl, Jan(4-CAMB-PM); Tiep, Pham Huu(1-FL)
  Cross characteristic representations of symplectic and unitary groups.
  J. Algebra 257 (2002), no. 2, 291--347.
  20G05 (20G40)
• 1912995
  Tiep, Pham Huu(1-FL); Zalesski\u\i, A. E.(4-EANG)
  Reducibility modulo $p$ of complex representations of finite groups of Lie type: asymptotical result and small characteristic cases. (English. English summary)
  Proc. Amer. Math. Soc. 130 (2002), no. 11, 3177--3184 (electronic).
  20C33 (20C20)
• 1888172
  Magaard, Kay(1-WYNS); Malle, Gunter(D-KSSL); Tiep, Pham Huu(1-FL)
  Irreducibility of tensor squares, symmetric squares and alternating squares. (English. English summary)
  Pacific J. Math. 202 (2002), no. 2, 379--427.
  20C33 (20C20)
• 1881398
  Tiep, Pham Huu(1-FL); Zalesski\u\i, A. E.(4-EANG)
  Mod $p$ reducibility of unramified representations of finite groups of Lie type.
  Proc. London Math. Soc. (3) 84 (2002), no. 2, 439--472.
  20C33 (20G05)
• 1889349
  Magaard, Kay(1-WYNS); Tiep, Pham Huu(1-FL)
  Irreducible tensor products of representations of finite quasi-simple groups of Lie type. (English. English summary)
  Modular representation theory of finite groups (Charlottesville, VA, 1998), 239--262,
  de Gruyter, Berlin, 2001.
  20C33 (20G40)
• 1830550
  Lempken, Wolfgang(D-ESSN-EM); Schröder, Bernd(D-WUPP); Tiep, Pham Huu(1-FL)
  Symmetric squares, spherical designs, and lattice minima.
  With an appendix by Christine Bachoc and Tiep.
  J. Algebra 240 (2001), no. 1, 185--208.
  05B30 (05B05 52B99 94B05)
• 1774360
  Pham Huu Tiep; Zalesskii, A. E.
  Some aspects of finite linear groups: a survey. (English. English summary)
  Algebra, 12.
  J. Math. Sci. (New York) 100 (2000), no. 1, 1893--1914.
  20G40 (20C33)
• 1727178
  Ash, Avner(1-OHS); Tiep, Pham Huu(1-OHS)
  Modular representations of ${\rm GL}(3, F\sb p)$, symmetric squares, and mod-$p$ cohomology of ${\rm GL}(3, Z)$. (English. English summary)
  J. Algebra 222 (1999), no. 2, 376--399.
  11F80 (11F75 11R39 20C33)
• 1732353
  Tiep, Pham Huu(1-FL)
  Globally irreducible lattices. (English. English summary)
  Integral quadratic forms and lattices (Seoul, 1998), 97--111,
  Contemp. Math., 249,
  Amer. Math. Soc., Providence, RI, 1999.
  11H06 (11H31 20C10 20C15 20C20 20C33)
• 1704480
  Dummigan, Neil(1-NIL); Tiep, Pham Huu(1-FL)
  Lower bounds for the minima of certain symplectic and unitary group lattices. (English. English summary)
  Amer. J. Math. 121 (1999), no. 4, 889--918.
  11H50 (20C33 20G40)
• 1679599
  Tiep, Pham Huu(1-FL)
  Globally irreducible representations of ${\rm SL}\sb 3(q)$ and ${\rm SU}\sb 3(q)$. (English. English summary)
  Israel J. Math. 109 (1999), 225--251.
  20C33 (20C10)
• 1658160
  Guralnick, Robert M.(1-SCA); Pham Huu Tiep(1-FL)
  Low-dimensional representations of special linear groups in cross characteristics. (English. English summary)
  Proc. London Math. Soc. (3) 78 (1999), no. 1, 116--138.
  20C20 (20C33 20G05)
• 1653379
  Scharlau, Rudolf(D-DORT); Tiep, Pham Huu(1-OHS)
  Symplectic group lattices. (English. English summary)
  Trans. Amer. Math. Soc. 351 (1999), no. 5, 2101--2139.
  20C10 (11E12 11H06 20C15)
• 1643139
  Fleischmann, P.(D-ESSN-EM); Lempken, W.(D-ESSN-EM); Tiep, P. H.(1-OHS)
  The $p$-intersection subgroups in quasi-simple and almost simple finite groups. (English. English summary)
  J. Algebra 207 (1998), no. 1, 1--42.
  20D06 (20G40)
• 1631050
  Dummigan, Neil(1-NIL); Tiep, Pham Huu(1-OHS)
  Congruences for certain theta series.
  J. Number Theory 71 (1998), no. 1, 86--105.
  11F27 (11H56)
• 1458871
  Fleischmann, P.(D-ESSN-EM); Lempken, W.(D-ESSN-EM); Tiep, Pham Huu(1-OHS)
  The primitive $p$-Frobenius groups. (English. English summary)
  Proc. Amer. Math. Soc. 126 (1998), no. 5, 1337--1343.
  20B15
• 1461484
  Scharlau, Rudolf(D-DORT); Tiep, Pham Huu(1-OHS)
  Symplectic groups, symplectic spreads, codes, and unimodular lattices. (English. English summary)
  J. Algebra 194 (1997), no. 1, 113--156.
  20G40 (51E22 94B05)
• 1449955
  Tiep, Pham Huu(1-OHS); Zalesskii, Alexander E.(4-EANG)
  Some characterizations of the Weil representations of the symplectic and unitary groups. (English. English summary)
  J. Algebra 192 (1997), no. 1, 130--165.
  20G05 (20C33 20G40)
• 1439180
  Tiep, Pham Huu(D-ESSN-EM)
  Weil representations as globally irreducible representations. (English. English summary)
  Math. Nachr. 184 (1997), 313--327.
  20C15
• 1435374
  Fleischmann, P.(D-ESSN-EM); Lempken, W.(D-ESSN-EM); Tiep, P. H.(1-OHS)
  Finite $p'$-semiregular groups.
  J. Algebra 188 (1997), no. 2, 547--579.
  20C15 (20C20)
• 1432536
  Tiep, Pham Huu(1-OHS)
  Globally irreducible representations of finite groups and integral lattices. (English. English summary)
  Geom. Dedicata 64 (1997), no. 1, 85--123.
  20C10 (11H06 20C20 20C34)
• 1429872
  Cohen, Arjeh M.(NL-EINDM); Tiep, Pham Huu(D-ESSN-EM)
  Splitting fields for Jordan subgroups. (English. English summary)
  Finite reductive groups (Luminy, 1994), 165--183,
  Progr. Math., 141,
  Birkhäuser Boston, Boston, MA, 1997.
  20G20 (22E10)
• 1425574
  Tiep, Pham Huu(1-OHS)
  $p$-Steinberg characters of finite simple groups. (English. English summary)
  J. Algebra 187 (1997), no. 1, 304--319.
  20C33
• 1440202
  Pham Huu Tiep(1-OHS)
  On the solvability of the kernel of any orthogonal decomposition. (English. English summary)
  Group theory, algebra, and number theory (Saarbrücken, 1993), 1--12,
  de Gruyter, Berlin, 1996.
  17B20
• 1411991
  Tiep, Pham Huu(1-OHS)
  A remark on a theorem of P. de la Harpe and V. F. R. Jones.
  Arch. Math. (Basel) 67 (1996), no. 5, 367--378.
  46L05 (05B20 05E30 15A30)
• 1386030
  Tiep, Pham Huu(D-ESSN-EM); Zalesskii, Alexander E.(BE-AOS)
  Minimal characters of the finite classical groups. (English. English summary)
  Comm. Algebra 24 (1996), no. 6, 2093--2167.
  20C33 (20G40)
• 1311996
  Tiep, Pham Huu(D-ESSN-EM)
  Basic spin representations of $2 S\sb n$ and $2 A\sb n$ as globally irreducible representations.
  Arch. Math. (Basel) 64 (1995), no. 2, 103--112.
  20C25 (20C30)
• 1308713
  Kostrikin, Alexei I.(RS-MOSCM); Ph\d am H\tilde u'u Ti\cfudot ep(VN-HMI)
  Orthogonal decompositions and integral lattices.
  de Gruyter Expositions in Mathematics, 15.
  Walter de Gruyter & Co., Berlin, 1994. x+535 pp. ISBN 3-11-013783-6
  17-02 (11H56 17B20 17B40)
• 1303014
  Ph\d am H\tilde u'u Ti\cfudot ep(D-ESSN-EM)
  Globally irreducible representations of the finite symplectic group ${\rm Sp}\sb 4(q)$.
  Comm. Algebra 22 (1994), no. 15, 6439--6457.
  20G05 (20C15)
• 1242854
  Burichenko, Vladimir P.(RS-MOSC); Tiep, Pham Huu(RS-MOSC)
  Invariant lattices of type $F\sb 4$ and $E\sb 6$: the automorphism groups.
  Comm. Algebra 21 (1993), no. 12, 4641--4677.
  17B25 (17B20)
• 1218355
  Tiep, P. H.(RS-MOSC)
  A reduction theorem for invariant integral lattices of type $A\sb n$.
  Nova J. Algebra Geom. 1 (1992), no. 3, 261--296.
  20F29 (17B40)
• 1208216
  Fam Khyu T\cprime ep
  Basic spinor representations of alternating groups, Gow lattices and Barnes-Wall lattices. (Russian. Russian summary)
  Mat. Sb. 183 (1992), no. 11, 99--116; translation in Russian Acad. Sci. Sb. Math. 77 (1994), no. 2, 351--365
  20C25 (11H56)
• 1202733
  Fam Khyu T\cprime ep(RS-MOSC)
  Invariant lattices of type $E\sb 8$ and automorphism groups. (Russian. Russian summary)
  Algebra i Analiz 4 (1992), no. 5, 227--256; translation in St. Petersburg Math. J. 4 (1993), no. 5, 1029--1054
  11H56
• 1188328
  Fam Khyu T\cprime ep
  Automorphism groups of some Mordell-Weil lattices. (Russian. Russian summary)
  Izv. Ross. Akad. Nauk Ser. Mat. 56 (1992), no. 3, 509--537; translation in Russian Acad. Sci. Izv. Math. 40 (1993), no. 3, 477--501
  20F29 (20G05)
• 1204247
  Fam Khyu T\cprime ep
  Orthogonal decompositions of Lie algebras of types $D\sb p$ and $C\sb p$. (Russian. Russian summary)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1991, , no. 3, 13--16, 110; translation in Moscow Univ. Math. Bull. 46 (1991), no. 3, 13--16
  17B20 (17B05)
• 1150555
  Kostrikin, A. I.(RS-MOSC); Fam Khyu T\cprime ep(RS-MOSC)
  Classification of irreducible orthogonal decompositions of simple Lie algebras of type $A\sb n$. (Russian)
  Algebra i Analiz 3 (1991), no. 3, 86--109; translation in St. Petersburg Math. J. 3 (1992), no. 3, 571--593
  17B20 (20D05)
• 1140838
  Fam Khyu T\cprime ep(RS-MOSC)
  A reduction theorem for invariant lattices of type $A\sb n$. (Russian)
  Dokl. Akad. Nauk SSSR 319 (1991), no. 1, 78--82; translation in Soviet Math. Dokl. 44 (1992), no. 1, 75--79
  20F29 (11E99 17B40)
• 1137182
  Fam Khyu T\cprime ep(RS-MOSC)
  Irreducible $J$-decompositions of the Lie algebras $A\sb {p\sp n-1}$. (Russian)
  Mat. Zametki 49 (1991), no. 5, 128--134, 159; translation in Math. Notes 49 (1991), no. 5-6, 531--535
  17B45
• 1129539
  Ph\d am H\tilde u'u Ti\cfudot ep(RS-MOSC)
  A classification of the irreducible orthogonal decompositions of the simple complex Lie algebras of type $B\sb n$.
  Comm. Algebra 19 (1991), no. 10, 2729--2775.
  17B05 (17B20)
• 1128695
  Fam Khyu T\cprime ep
  Weyl representations of finite symplectic groups and Gow lattices. (Russian)
  Mat. Sb. 182 (1991), no. 8, 1177--1199; translation in Math. USSR-Sb. 73 (1992), no. 2, 535--555
  20G05
• 1087870
  Kostrikin, A. I.(2-MOSC); Fam Khyu T\cprime ep(2-MOSC)
  Irreducible orthogonal decompositions of simple Lie algebras of type $A\sb n$. (Russian)
  Dokl. Akad. Nauk SSSR 314 (1990), no. 4, 782--786; translation in Soviet Math. Dokl. 42 (1991), no. 2, 538--542
  17B20
• 1085226
  Fam Khyu T\cprime ep
  Characterization of a multiplicative orthogonal decomposition of the Lie algebra $D\sb 4$. (Russian)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1990, , no. 5, 49--53, 106; translation in Moscow Univ. Math. Bull. 45 (1990), no. 5, 46--49
  17B20
• 1029759
  Fam Khyu T\cprime ep
  Small lattices in the Lie algebras $A\sb {p-1}$. (Russian)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1989, , no. 4, 70--72; translation in Moscow Univ. Math. Bull. 44 (1989), no. 4, 67--70
  17B20 (11H06)
• 1025688
  Fam Khyu T\cprime ep(2-MOSC)
  Irreducible orthogonal decompositions in Lie algebras. (Russian)
  Mat. Sb. 180 (1989), no. 10, 1396--1414, 1440; translation in Math. USSR-Sb. 68 (1991), no. 1, 257--275
  17B20
• 997709
  Fam Khyu T\cprime ep(2-MOSC)
  Lattices not of root type in the Lie algebras $B\sb 3$ and $D\sb 4$. (Russian)
  Uspekhi Mat. Nauk 44 (1989), no. 1(265), 217--218; translation in Russian Math. Surveys 44 (1989), no. 1, 247--248
  17B20 (11H06)
• 982475
  Fam Khyu T\cprime ep
  Lattices of root type in the Lie algebras $D\sb {2\sp m}$ and $B\sb {2\sp {m}-1}$. (Russian)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1989, , no. 1, 100--102; translation in Moscow Univ. Math. Bull. 44 (1989), no. 1, 92--95
  17B20
• 972722
  Fam Khyu T\cprime ep
  Invariant sublattices in a Cartan subalgebra. (Russian)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1988, , no. 4, 72--75; translation in Moscow Univ. Math. Bull. 43 (1988), no. 4, 65--68
  17B20 (17B40)
• 867336
  Bondal, A. I.(2-AOS); Kostrikin, A. I.(2-AOS); Fam Khyu T\cprime ep(2-MOSC)
  Invariant lattices, the Leech lattice and its even unimodular analogues in the Lie algebras $A\sb {p-1}$. (Russian)
  Mat. Sb. (N.S.) 130(172) (1986), no. 4, 435--464, 575.
  11H06 (17B20)
• 831642
  Fam Khyu T\cprime ep
  A construction of even unimodular lattices. (Russian)
  Vestnik Moskov. Univ. Ser. I Mat. Mekh. 1986, no. 1,54--57, 93.
  17B20 (11H55)