Thompson, John G.

• 2381796
  Thompson, John G.(1-FL)
  Composition factors of rational finite groups. (English summary)
  J. Algebra 319 (2008), no. 2, 558--594.
  20Dxx
  
• 2236305
  Navarro, Gabriel(E-VLNCM)
  John G. Thompson and finite groups. (Spanish)
  Gac. R. Soc. Mat. Esp. 9 (2006), no. 1, 183--189.
  01A70
• 2159686
  Scott, Leonard(1-VA); Solomon, Ronald(1-OHS); Thompson, John(1-FL); Walter, John(1-IL); Zelmanov, Efim(1-UCSD)
  Walter Feit (1930--2004).
  Notices Amer. Math. Soc. 52 (2005), no. 7, 728--735.
  01A70
• 2150438
  Progress in Galois theory.
  Proceedings of John Thompson's 70th Birthday Conference held at the University of Florida, Gainesville, FL, November 4--8, 2002. Edited by Helmut Voelklein and Tanush Shaska. Developments in Mathematics, 12.
  Springer, New York, 2005. x+168 pp. ISBN 0-387-23533-7
  00B30 (12-06 14-06 20-06)
• 2047441
  Moretó, Alexander(E-VLNCM-AL2)
  An answer to a question of J. G. Thompson on: "Some generalized characters" [J. Algebra 179 (1996), no. 3, 889--893; MR1371748].
  J. Algebra 275 (2004), no. 1, 75--76.
  20C15
• 1708608
  Thompson, John(1-FL); Völklein, Helmut(1-FL)
  Braid-abelian tuples in ${\rm Sp}\sb n(K)$. (English. English summary)
  Aspects of Galois theory (Gainesville, FL, 1996), 218--238,
  London Math. Soc. Lecture Note Ser., 256,
  Cambridge Univ. Press, Cambridge, 1999.
  12F12 (20G40)
• 1708599
  Aspects of Galois theory.
  Papers from the Conference on Galois Theory held at the University of Florida, Gainesville, FL, October 14--18, 1996. Edited by Helmut Völklein, David Harbater, Peter Müller and J. G. Thompson. London Mathematical Society Lecture Note Series, 256.
  Cambridge University Press, Cambridge, 1999. viii+282 pp. ISBN 0-521-63747-3
  14-06 (12-06)
• 1490157
  Thompson, J. G.(1-FL); Völklein, H.(1-FL)
  Symplectic groups as Galois groups.
  J. Group Theory 1 (1998), no. 1, 1--58.
  12F12
• 1444501
  Thompson, John G.(1-FL)
  Incidence matrices of finite projective planes and their eigenvalues.
  J. Algebra 191 (1997), no. 1, 265--278.
  51E15 (15A18)
• 1444500
  Thompson, John G.(1-FL)
  Power maps and completions of free groups and of the modular group.
  J. Algebra 191 (1997), no. 1, 252--264.
  20E05 (20H05)
• 1407890
  Robinson, Geoffrey R.(4-LSTR-CS); Thompson, John G.(1-FL)
  On Brauer's $k(B)$-problem.
  J. Algebra 184 (1996), no. 3, 1143--1160.
  20C20 (20D05)
• 1371748
  Thompson, John G.(1-FL)
  Some generalized characters.
  J. Algebra 179 (1996), no. 3, 889--893.
  20C15
• 1610481
  Thompson, John G.
  Sylow $2$-subgroups of simple groups.
  Séminaire Bourbaki, Vol. 10, Exp. No. 345, 543--545,
  Soc. Math. France, Paris, 1995.
  20E32 (20D20)
• 1332869
  Robinson, Geoffrey R.(1-FL); Thompson, John G.(1-FL)
  Sums of squares and the fields $ Q\sb {A\sb n}$.
  J. Algebra 174 (1995), no. 1, 225--228.
  12F05 (11P81 20C15)
• 1315914
  Thompson, John G.(1-FL)
  $4$-punctured spheres.
  J. Algebra 171 (1995), no. 2, 587--605.
  20H10 (30F35)
• 1298742
  Thompson, John G.(4-CAMB)
  Note on $H(4)$.
  Comm. Algebra 22 (1994), no. 14, 5683--5687.
  20F36
• 1298741
  Thompson, John G.(4-CAMB)
  Note on realizable sequences of partitions.
  Comm. Algebra 22 (1994), no. 14, 5679--5682.
  05A17 (05C25 20B30)
• 1227123
  Thompson, John G.(4-CAMB)
  Algebraic integers all of whose algebraic conjugates have the same absolute value. (English. English summary)
  Coding theory, design theory, group theory (Burlington, VT, 1990), 107--110,
  Wiley-Intersci. Publ.,
  Wiley, New York, 1993.
  11R04 (51E15)
• 1200283
  Thompson, J. G.(4-CAMB)
  Discrete groups and Galois theory.
  Groups, combinatorics & geometry (Durham, 1990), 476--479,
  London Math. Soc. Lecture Note Ser., 165,
  Cambridge Univ. Press, Cambridge, 1992.
  20H10 (12F12)
• 1153175
  Carleson and Thompson receive Wolf Prize.
  Notices Amer. Math. Soc. 39 (1992), no. 4, 321--322.
  01A70
• 1123999
  Thompson, John G.(4-CAMB)
  Galois groups.
  Groups---St. Andrews 1989, Vol. 2, 455--462,
  London Math. Soc. Lecture Note Ser., 160,
  Cambridge Univ. Press, Cambridge, 1991.
  12F12 (11F30)
• 1316220
  Thompson, John G.(4-CAMB)
  Rigidity, ${\rm GL}(n,q)$, and the braid group. (English. English summary)
  Algebra, groups and geometry.
  Bull. Soc. Math. Belg. Sér. A 42 (1990), no. 3, 723--733.
  20D60 (12F12 20G40)
• 1092232
  Thompson, John G.(4-CAMB)
  Groups of genus zero and certain rational functions.
  Groups---Canberra 1989, 185--190,
  Lecture Notes in Math., 1456,
  Springer, Berlin, 1990.
  12F20 (20B25 20D25)
• 1055011
  Guralnick, Robert M.(1-SCA); Thompson, John G.(4-CAMB)
  Finite groups of genus zero.
  J. Algebra 131 (1990), no. 1, 303--341.
  20B25 (12F99 30F10)
• 981844
  Thompson, J. G.(4-CAMB)
  Hecke operators and noncongruence subgroups.
  Including a letter from J.-P. Serre.
  Group theory (Singapore, 1987), 215--224,
  de Gruyter, Berlin, 1989.
  20H25 (11F06)
• 981843
  Thompson, J. G.(4-CAMB)
  Fricke, free groups and ${\rm SL}\sb 2$.
  Group theory (Singapore, 1987), 207--214,
  de Gruyter, Berlin, 1989.
  20H20 (11F06)
• 931712
  Thompson, John G.(4-CAMB)
  Archimedes and continued fractions.
  Math. Medley 15 (1987), no. 2, 67--75.
  01A20 (11A55)
• 915435
  Bond, G. W.
  Eulogy: John G. Thompson.
  Dual Latin-English text.
  Bull. London Math. Soc. 19 (1987), no. 6, 635--636.
  01A70
• 865887
  Thompson, J. G.(4-CAMB)
  Algebraic numbers associated to certain punctured spheres.
  J. Algebra 104 (1986), no. 1, 61--73.
  11R06 (11F20 30F10)
• 842445
  Thompson, John G.(4-CAMB)
  Some finite groups which appear as ${\rm Gal}\,L/K,$ where $K\subseteq Q(µ\sb n)$.
  Group theory, Beijing 1984, 210--230,
  Lecture Notes in Math., 1185,
  Springer, Berlin, 1986.
  11R32 (12F10 20C99)
• 817267
  Thompson, J. G.(4-CAMB)
  Primitive roots and rigidity.
  Proceedings of the Rutgers group theory year, 1983--1984 (New Brunswick, N.J., 1983--1984), 327--350,
  Cambridge Univ. Press, Cambridge, 1985.
  12E05 (11R32 12F10 20G40)
• 817265
• 817264
  Thompson, J. G.(4-CAMB)
  ${\rm PSL}\sb 3$ and Galois groups over $ Q$.
  Proceedings of the Rutgers group theory year, 1983--1984 (New Brunswick, N.J., 1983--1984), 309--319,
  Cambridge Univ. Press, Cambridge, 1985.
  12E05 (12F10 20G40)
• 780566
  Thompson, John G.(4-CAMBK)
  Finite nonsolvable groups.
  Group theory, 1--12,
  Academic Press, London, 1984.
  20D05
• 758133
  Roseblade, J. E.
  Obituary: Philip Hall.
  With contributions by J. G. Thompson and J. A. Green.
  Bull. London Math. Soc. 16 (1984), no. 6, 603--626.
  01A70 (20-03)
• 751155
  Thompson, John G.(4-CAMB)
  Some finite groups which appear as ${\rm Gal}\,L/K$, where $K\subseteq Q(µ\sb{n})$.
  J. Algebra 89 (1984), no. 2, 437--499.
  12F10 (11F80 20D08)
• 712400
  Sloane, N. J. A.(1-BELL); Thompson, J. G.(4-CAMB)
  Cyclic self-dual codes.
  IEEE Trans. Inform. Theory 29 (1983), no. 3, 364--366.
  94B15
• 672889
  Pless, Vera; Thompson, John G.
  $17$ does not divide the order of the group of a $(72,\,36,\,16)$ doubly even code.
  IEEE Trans. Inform. Theory 28 (1982), no. 3, 537--541.
  94B15
• 633655
  Thompson, John G.
  Ovals in a projective plane of order $10$.
  Combinatorics (Swansea, 1981), pp. 187--190,
  London Math. Soc. Lecture Note Ser., 52,
  Cambridge Univ. Press, Cambridge-New York, 1981.
  05B25 (51E15)
• 630609
  Thompson, J. G.
  Rational functions associated to presentations of finite groups.
  J. Algebra 71 (1981), no. 2, 481--489.
  20F05 (20C15)
• 618528
  Sloane, N. J. A.; Thompson, J. G.
  The nonexistence of a certain Steiner system $S(3,\,12,\,112)$.
  J. Combin. Theory Ser. A 30 (1981), no. 3, 209--236.
  05B07 (51E10)
• 613864
  Thompson, J. G.
  Finite-dimensional representations of free products with an amalgamated subgroup.
  J. Algebra 69 (1981), no. 1, 146--149.
  20C15 (20D08)
• 613863
  Thompson, J. G.
  Invariants of finite groups.
  J. Algebra 69 (1981), no. 1, 143--145.
  20G20
• 577542
  Anstee, Richard P.; Hall, Marshall, Jr.; Thompson, John G.
  Planes of order $10$ do not have a collineation of order $5$.
  J. Combin. Theory Ser. A 29 (1980), no. 1, 39--58.
  51E15 (05B25 94B40)
• 604632
  Thompson, J. G.
  A finiteness theorem for subgroups of ${\rm PSL}(2,\, R)$ which are commensurable with ${\rm PSL}(2,\, Z)$.
  The Santa Cruz Conference on Finite Groups (Univ. California, Santa Cruz, Calif., 1979), pp. 533--555,
  Proc. Sympos. Pure Math., 37,
  Amer. Math. Soc., Providence, R.I., 1980.
  20H05 (10D07 20D08 22E40)
• 554402
  Thompson, J. G.
  Some numerology between the Fischer-Griess Monster and the elliptic modular function.
  Bull. London Math. Soc. 11 (1979), no. 3, 352--353.
  20D08 (10D12)
• 554401
  Thompson, J. G.
  Finite groups and modular functions.
  Bull. London Math. Soc. 11 (1979), no. 3, 347--351.
  20D08 (10D12)
• 554400
  Thompson, J. G.
  Uniqueness of the Fischer-Griess monster.
  Bull. London Math. Soc. 11 (1979), no. 3, 340--346.
  20D08
• 572056
  Thompson, J. G.
  Remarks on finite groups.
  Proceedings of the 5th School of Algebra (Rio de Janeiro, 1978), pp. 75--77,
  Soc. Brasil. Mat., Rio de Janeiro, 1978.
  20B20 (20D06)
• 453858
  Thompson, John G.
  Toward a characterization of $F\sp*\sb{2}(q)$. III.
  J. Algebra 49 (1977), no. 1, 162--166.
  20D05
• 399257
  Thompson, J. G.
  Finite groups and even lattices.
  J. Algebra 38 (1976), no. 2, 523--524.
  20D30
• 399193
  Thompson, J. G.
  A conjugacy theorem for $E\sb{8}$.
  J. Algebra 38 (1976), no. 2, 525--530.
  17B25 (20D05)
• 360802
  Thompson, J. G.
  Simple $3\sp{\prime} $-groups.
  Symposia Mathematica, Vol. XIII (Convegno di Gruppi e loro Rappresentazioni, INDAM, Rome, 1972), pp. 517--530.
  Academic Press, London, 1974.
  20D05
• 403994
  Thompson, John G.
  Weighted averages associated to some codes.
  Collection of articles dedicated to the memory of Abraham Adrian Albert.
  Scripta Math. 29, no. 3-4, 449--452. (1973).
  05A99 (94A10)
• 369512
  Thompson, John G.
  Nonsolvable finite groups all of whose local subgroups are solvable. IV, V, VI.
  Pacific J. Math. 48 (1973), 511--592, ibid. 50 (1974), 215--297; ibid. 51(1974), 573--630.
  20D05
• 330293
  Thompson, John G.
  Isomorphisms induced by automorphisms.
  Collection of articles dedicated to the memory of Hanna Neumann, I.
  J. Austral. Math. Soc. 16 (1973), 16--17.
  20D45
• 313089
  MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G.
  On the existence of a projective plane of order $10$.
  J. Combinatorial Theory Ser. A 14 (1973), 66--78.
  05B25
• 313377
  Thompson, John G.
  Toward a characterization of $E\sb{2}\sp{*} (q)$. II.
  J. Algebra 20 (1972), 610--621.
  20D05
• 307799
  MacWilliams, F. J.; Sloane, N. J. A.; Thompson, J. G.
  Good self dual codes exist.
  Discrete Math. 3 (1972), 153--162.
  94A10
• 430043
  Thompson, J. G.
  Quadratic pairs.
  Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 375--376.
  Gauthier-Villars, Paris, 1971.
  20C05 (22E99)
• 414281
  Brauer, R.
  On the work of John Thompson.
  Actes du Congrès International des Mathématiciens (Nice, 1970), Tome 1, pp. 15--16.
  Gauthier-Villars, Paris, 1971.
  01A70 (20-03)
• 313378
  Thompson, John G.
  Nonsolvable finite groups all of whose local subgroups are solvable. III.
  Pacific J. Math. 39 (1971), 483--534.
  20D05
• 283076
  Janko, Zvonimir; Thompson, John G.
  On finite simple groups whose Sylow $2$-subgroups have no normal elementary subgroups of order $8$.
  Math. Z. 113 1970 385--397.
  20.29
• 283073
  Randolph, John
  On a theorem of Thompson concerning a class of nonsolvable groups.
  Math. Z. 118 1970 340--343.
  20.27
• 276325
  Thompson, John G.
  Nonsolvable finite groups all of whose local subgroups are solvable. II.
  Pacific J. Math. 33 1970 451--536.
  20.29
• 252500
  Thompson, John G.
  Bounds for orders of maximal subgroups.
  J. Algebra 14 1970 135--138.
  20.25
• 252499
  Thompson, John G.
  Normal $p$-complements and irreducible characters.
  J. Algebra 14 1970 129--134.
  20.25
• 251125
  Thompson, John G.
  A non-duality theorem for finite groups.
  J. Algebra 14 1970 1--4.
  20.25
• 245683
  Thompson, John G.
  A replacement theorem for $p$-groups and a conjecture.
  J. Algebra 13 1969 149--151.
  20.40
• 237633
  Thompson, John G.
  Envelopes and $p$-signalizers of finite groups.
  Illinois J. Math. 13 1969 87--90.
  20.25
• 236258
  Thompson, John G.
  Characterization of finite simple groups. 1968
  Proc. Internat. Congr. Math. (Moscow, 1966) pp. 158--162
  Izdat. "Mir", Moscow
  20.29
• 235025
  Glauberman, G.; Thompson, J. G.
  Weakly closed direct factors of Sylow subgroups.
  Pacific J. Math. 26 1968 73--83.
  20.25
• 230809
  Thompson, John G.
  Nonsolvable finite groups all of whose local subgroups are solvable.
  Bull. Amer. Math. Soc. 74 1968 383--437.
  20.25
• 223448
  Thompson, John G.
  Toward a characterization of $E\sb{2}\sp{*} (q)$.
  J. Algebra 7 1967 406--414.
  20.25
• 213432
  Thompson, John G.
  Defect groups are Sylow intersections.
  Math. Z. 100 1967 146.
  20.25
• 212093
  Thompson, John G.
  On a question of L. J. Paige.
  Math. Z. 99 1967 26--27.
  20.43
• 209357
  Thompson, John G.
  Centralizers of elements in $p$-groups.
  Math. Z. 96 1967 292--293.
  20.40
• 207863
  Thompson, John G.
  Vertices and sources.
  J. Algebra 6 1967 1--6.
  20.80
• 207844
  Thompson, John G.
  An example of core-free quasinormal subgroups of $p$-groups.
  Math. Z. 96 1967 226--227.
  20.40
• 201504
  Janko, Zvonimir; Thompson, John G.
  On a class of finite simple groups of Ree.
  J. Algebra 4 1966 274--292.
  20.27
• 197546
  Thompson, John G.
  Hall subgroups of the symmetric groups.
  J. Combinatorial Theory 1 1966 271--279.
  20.20
• 195934
  Rothaus, Oscar; Thompson, John G.
  A combinatorial problem in the symmetric group.
  Pacific J. Math. 18 1966 175--178.
  20.20
• 188296
  Thompson, John G.
  Factorizations of $p$-solvable groups.
  Pacific J. Math. 16 1966 371--372.
  20.40
• 173710
  Thompson, John G.
  Automorphisms of solvable groups.
  J. Algebra 1 1964 259--267.
  20.40
• 168653
  Thompson, John G.
  Fixed points of $p$-groups acting on $p$-groups.
  Math. Z. 86 1964 12--13.
  20.40
• 167521
  Thompson, John G.
  Normal $p$-complements for finite groups.
  J. Algebra 1 1964 43--46.
  20.25
• 159874
  Thompson, John G.
  2-signalizers of finite groups.
  Pacific J. Math. 14 1964 363--364.
  20.25
• 175972
  Thompson, John G.
  Two results about finite groups. 1963
  Proc. Internat. Congr. Mathematicians (Stockholm, 1962) pp. 296--300
  Inst. Mittag-Leffler, Djursholm
  20.25
• 166261
  Feit, Walter; Thompson, John G.
  Solvability of groups of odd order.
  Pacific J. Math. 13 1963 775--1029.
  20.40 (20.25)
• 152576
• 143802
  Feit, Walter; Thompson, John G.
  A solvability criterion for finite groups and some consequences.
  Proc. Nat. Acad. Sci. U.S.A. 48 1962 968--970.
  20.40
• 142623
  Feit, Walter; Thompson, John G.
  Finite groups which contain a self-centralizing subgroup of order 3.
  Nagoya Math. J. 21 1962 185--197.
  20.25
• 133373
  Feit, Walter; Thompson, John G.
  Groups which have a faithful representation of degree less than $(p-1/2)$.
  Pacific J. Math. 11 1961 1257--1262.
  20.80
• 114856
  Feit, Walter; Hall, Marshall, Jr.; Thompson, John G.
  Finite groups in which the centralizer of any non-identity element is nilpotent.
  Math. Z. 74 1960 1--17.
  20.00
• 117290
  Thompson, John
  Finite groups with normal $p$-complements. 1959
  Proc. Sympos. Pure Math., Vol. 1 pp. 1--3
  American Mathematical Society, Providence, R.I.
  20.00
• 117289
  Thompson, John G.
  Normal $p$-complements for finite groups.
  Math. Z 72 1959/1960 332--354.
  20.00
• 117288
  Thompson, John G.
  A special class of non-solvable groups.
  Math. Z 72 1959/1960 458--462.
  20.00
• 108532
  Hughes, D. R.; Thompson, J. G.
  The $H$-problem and the structure of $H$-groups.
  Pacific J. Math. 9 1959 1097--1101.
  20.00
• 106951
  Albert, A. A.; Thompson, John
  Two-element generation of the projective unimodular group.
  Illinois J. Math. 3 1959 421--439.
  20.00
• 104731
  Thompson, John
  Finite groups with fixed-point-free automorphisms of prime order.
  Proc. Nat. Acad. Sci. U.S.A. 45 1959 578--581.
  20.00
• 96728
  Albert, A. A.; Thompson, John
  Two element generation of the projective unimodular group.
  Bull. Amer. Math. Soc. 64 1958 92--93.
  20.00
• 52448
  Thompson, John
  A method for finding primes.
  Amer. Math. Monthly 60, (1953). 175.
  10.0X