Völklein, Helmut

• 2495806
  Magaard, Kay(4-BIRM-M); Völklein, Helmut(D-DUES2-EM); Wiesend, Götz(D-DUES2-EM)
  The combinatorics of degenerate covers and an application for general curves of genus 3. (English summary)
  Albanian J. Math. 2 (2008), no. 3, 145--158.
  14H30 (14H45)
  
• 2228214
  Magaard, K.(1-WYNS); Völklein, H.(D-DUES2-EM)
  On Weierstrass points of Hurwitz curves.
  J. Algebra 300 (2006), no. 2, 647--654.
  14H55
• 2182044
  Staszewski, R.(D-DUES2-EM); Völklein, H.(D-DUES2-EM); Wiesend, G.(D-DUES2-EM)
  Counting generating systems of a finite group from given conjugacy classes. (English. English summary)
  Computational aspects of algebraic curves, 256--263,
  Lecture Notes Ser. Comput., 13,
  World Sci. Publ., Hackensack, NJ, 2005.
  20-04 (20E45 20F05)
• 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)
• 2148464
  Völklein, Helmut(1-FL)
  The image of a Hurwitz space under the moduli map.
  Progress in Galois theory, 135--150,
  Dev. Math., 12,
  Springer, New York, 2005.
  14H10 (14H30)
• 2148462
  Krishnamoorthy, Vishwanath; Shaska, Tanush(1-ID); Völklein, Helmut(1-FL)
  Invariants of binary forms. (English. English summary)
  Progress in Galois theory, 101--122,
  Dev. Math., 12,
  Springer, New York, 2005.
  13A50
• 2063042
  Magaard, Kay(1-WYNS); Völklein, Helmut(1-FL)
  The monodromy group of a function on a general curve. (English. English summary)
  Israel J. Math. 141 (2004), 355--368.
  14H30
• 2037120
  Shaska, Tanush(1-CA3); Völklein, Helmut(1-FL)
  Elliptic subfields and automorphisms of genus 2 function fields. (English. English summary)
  Algebra, arithmetic and geometry with applications (West Lafayette, IN, 2000), 703--723,
  Springer, Berlin, 2004.
  14H05 (12Fxx)
• 2043989
  Magaard, Kay(1-WYNS); Shpectorov, Sergey(1-BLGS); Völklein, Helmut(1-FL)
  A GAP package for braid orbit computation and applications. (English. English summary)
  Experiment. Math. 12 (2003), no. 4, 385--393.
  12F12 (14H10 14H30 57M07)
• 1954371
  Magaard, K.(1-WYNS); Shaska, T.(1-CA3); Shpectorov, S.(1-BLGS); Völklein, H.(1-FL)
  The locus of curves with prescribed automorphism group. (English. English summary)
  Communications in arithmetic fundamental groups (Kyoto, 1999/2001).
  S\=urikaisekikenky\=usho K\=oky\=uroku No. 1267, (2002), 112--141.
  14H37
• 1935418
  Völklein, Helmut(1-FL)
  Galois realizations of profinite projective linear groups.
  Arithmetic fundamental groups and noncommutative algebra (Berkeley, CA, 1999), 485--493,
  Proc. Sympos. Pure Math., 70,
  Amer. Math. Soc., Providence, RI, 2002.
  12F12
• 1831635
  Völklein, Helmut(1-FL)
  A transformation principle for covers of ${\Bbb P}\sp 1$. (English. English summary)
  J. Reine Angew. Math. 534 (2001), 156--168.
  14H30 (12F12)
• 1825350
  Völklein, Helmut(1-FL)
  The braid group and linear rigidity. (English. English summary)
  Geom. Dedicata 84 (2001), no. 1-3, 135--150.
  12F12 (20F36)
• 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)
• 1708603
  Frey, Gerhard; Kani, Ernst; Völklein, Helmut
  Curves with infinite $K$-rational geometric fundamental group.
  Aspects of Galois theory (Gainesville, FL, 1996), 85--118,
  London Math. Soc. Lecture Note Ser., 256,
  Cambridge Univ. Press, Cambridge, 1999.
  14G32 (14E20 14H30)
• 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)
• 1696090
  Strambach, Karl(D-ERL-MI); Völklein, Helmut(1-FL)
  On linearly rigid tuples. (English. English summary)
  J. Reine Angew. Math. 510 (1999), 57--62.
  20G15 (12F12 20G40)
• 1656845
  Magaard, Kay(1-WYNS); Strambach, Karl(D-ERL-MI); Völklein, Helmut(1-FL)
  Finite quotients of the pure symplectic braid group. (English. English summary)
  Israel J. Math. 106 (1998), 13--28.
  20F36 (12F12 20G40)
• 1637911
  Völklein, Helmut(1-FL)
  Rigid generators of classical groups.
  Math. Ann. 311 (1998), no. 3, 421--438.
  12F12 (20G40)
• 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
• 1653012
  Strambach, Karl(D-ERL); Völklein, Helmut(1-FL)
  The symplectic braid group and Galois realizations.
  Geometric Galois actions, 2, 139--150,
  London Math. Soc. Lecture Note Ser., 243,
  Cambridge Univ. Press, Cambridge, 1997.
  20F36 (12F12 14H10 20G40)
• 1405612
  Völklein, Helmut(1-FL)
  Groups as Galois groups. (English. English summary)
  An introduction. Cambridge Studies in Advanced Mathematics, 53.
  Cambridge University Press, Cambridge, 1996. xviii+248 pp. ISBN 0-521-56280-5
  12F12
• 1387720
  Müller, Peter(D-ERL-MI); Völklein, Helmut(1-FL)
  On a question of Davenport. (English. English summary)
  J. Number Theory 58 (1996), no. 1, 46--54.
  12F10 (11R09 12E05)
• 1380632
  Haran, Dan(IL-TLAV); Völklein, Helmut(1-FL)
  Galois groups over complete valued fields. (English. English summary)
  Israel J. Math. 93 (1996), 9--27.
  12F10 (12J10)
• 1352269
  Völklein, Helmut(1-FL)
  Cyclic covers of $ P\sp 1$ and Galois action on their division points. (English. English summary)
  Recent developments in the inverse Galois problem (Seattle, WA, 1993), 91--107,
  Contemp. Math., 186,
  Amer. Math. Soc., Providence, RI, 1995.
  12F12 (14H30 57M12)
• 1352262
  Recent developments in the inverse Galois problem.
  Papers from the Joint Summer Research Conference held at the University of Washington, Seattle, Washington, July 17--23, 1993. Edited by Michael D. Fried, Shreeram S. Abhyankar, Walter Feit, Yasutaka Ihara and Helmut Voelklein [Helmut Völklein]. Contemporary Mathematics, 186.
  American Mathematical Society, Providence, RI, 1995. x+401 pp. ISBN 0-8218-0299-2
  00B25
• 1339658
  Strambach, Karl(D-ERL); Völklein, Helmut(1-FL)
  Generalized braid groups and rigidity. (English. English summary)
  J. Algebra 175 (1995), no. 2, 604--615.
  12F12 (20F34 20F55)
• 1299732
  Fried, Michael D.(1-CA3); Haran, Dan(IL-TLAV); Völklein, Helmut(1-FL)
  Real Hilbertianity and the field of totally real numbers. (English. English summary)
  Arithmetic geometry (Tempe, AZ, 1993), 1--34,
  Contemp. Math., 174,
  Amer. Math. Soc., Providence, RI, 1994.
  12D15 (11G25 12E25 12F12)
• 1277708
  Völklein, Helmut(1-FL)
  Braid group action, embedding problems and the groups ${\rm PGL}\sb n(q)$, ${\rm PU}\sb n(q\sp 2)$. (English. English summary)
  Forum Math. 6 (1994), no. 4, 513--535.
  12F12 (20F36)
• 1264353
  Völklein, H.(1-FL)
  Moduli spaces for covers of the Riemann sphere. (English. English summary)
  Israel J. Math. 85 (1994), no. 1-3, 407--430.
  14H10 (12F12 14E20 20F36)
• 1264341
  Fried, Michael D.(1-CA3); Völklein, Helmut(1-FL)
  The absolute Galois group of a Hilbertian PRC field. (English. English summary)
  Israel J. Math. 85 (1994), no. 1-3, 85--101.
  12F12 (12E25 12J15)
• 1249777
  Fried, Michael D.(1-CA3); Haran, Dan(D-MPI); Völklein, Helmut(1-FL)
  Absolute Galois group of the totally real numbers. (English. English, French summary)
  C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 11, 995--999.
  12F10 (12E25 12J15)
• 1239059
  Völklein, Helmut(1-FL)
  Braid group action via ${\rm GL}\sb n(q)$ and ${\rm U}\sb n(q)$, and Galois realizations. (English. English summary)
  Israel J. Math. 82 (1993), no. 1-3, 405--427.
  12F12 (20F36)
• 1166641
  Fried, Michael D.(1-CA3); Völklein, Helmut(D-ERL)
  The embedding problem over a Hilbertian PAC-field.
  Ann. of Math. (2) 135 (1992), no. 3, 469--481.
  12E25 (12F12)
• 1162680
  Völklein, Helmut(1-FL)
  ${\rm GL}\sb n(q)$ as Galois group over the rationals.
  Math. Ann. 293 (1992), no. 1, 163--176.
  12F12 (14D20 14M20 20F36)
• 1152436
  Völklein, Helmut(1-FL)
  Central extensions as Galois groups.
  J. Algebra 146 (1992), no. 1, 144--152.
  12F12
• 1119950
  Fried, Michael D.(1-CA3); Völklein, Helmut(1-FL)
  The inverse Galois problem and rational points on moduli spaces.
  Math. Ann. 290 (1991), no. 4, 771--800.
  12F12 (12L10 14E22 14H10 14H30)
• 1060151
  Völklein, Helmut(1-FL)
  ${\rm PSL}\sb 2(q)$ and extensions of $ Q(x)$.
  Bull. Amer. Math. Soc. (N.S.) 24 (1991), no. 1, 145--153.
  12F12 (11G35 20B25)
• 1031450
  Cherlin, Gregory(1-RTG); Grundhöfer, Theo(D-TBNG); Nesin, Ali(1-CA3); Völklein, Helmut(1-FL)
  Sharply transitive linear groups over algebraically closed fields.
  Proc. Amer. Math. Soc. 111 (1991), no. 2, 541--550.
  20A15 (03C45 03C60 20B22 20H20)
• 1068372
  Völklein, Helmut(1-FL)
  On extensions between simple modules of a Chevalley group.
  Proceedings of the Second International Group Theory Conference (Bressanone, 1989).
  Rend. Circ. Mat. Palermo (2) Suppl. No. 23, (1990), 337--346.
  20C20 (20G05 20G40)
• 1060835
  Ho, Chat Yin(1-FL); Völklein, Helmut(1-FL)
  A criterion for an element to belong to a given Sylow $p$-subgroup. I.
  J. Algebra 132 (1990), no. 1, 113--122.
  20D20 (20F45)
• 1029408
• 1029407
• 1028458
  Völklein, Helmut(1-FL)
  $1$-cohomology of Chevalley groups.
  J. Algebra 127 (1989), no. 2, 353--372.
  20G10
• 1013161
  Fried, Michael D.(1-CA3); Völklein, Helmut(1-FL)
  Unramified abelian extensions of Galois covers.
  Theta functions---Bowdoin 1987, Part 1 (Brunswick, ME, 1987), 675--693,
  Proc. Sympos. Pure Math., 49, Part 1,
  Amer. Math. Soc., Providence, RI, 1989.
  14E20 (12F05 14H30 20C20)
• 978973
  Völklein, Helmut(1-FL)
  The $1$-cohomology of the adjoint module of a Chevalley group.
  Forum Math. 1 (1989), no. 1, 1--13.
  20G15 (20G05 20J06)
• 978507
  Ho, Chat Yin(1-FL); Völklein, Helmut(1-FL)
  A criterion for an element to belong to a given Sylow $p$-subgroup. II.
  Geom. Dedicata 28 (1988), no. 3, 363--368.
  20D20
• 883871
  Völklein, Helmut(D-ERL)
  Lattice isomorphisms of Lie algebras and algebraic groups.
  J. Algebra 107 (1987), no. 1, 82--97.
  17B05 (20G15)
• 881571
  Völklein, Helmut(1-FL)
  On the lattice automorphisms of ${\rm SL}(n,q)$ and ${\rm PSL}(n,q)$.
  Rend. Sem. Mat. Univ. Padova 76 (1986), 207--217.
  20G40
• 855800
  Völklein, Helmut(D-ERL)
  Algebraic groups as products of two subgroups, one of which is solvable.
  Houston J. Math. 12 (1986), no. 1, 145--154.
  20G15
• 849720
  Völklein, Helmut(D-ERL)
  On the lattice automorphisms of the finite Chevalley groups.
  Nederl. Akad. Wetensch. Indag. Math. 48 (1986), no. 2, 213--228.
  20E15 (20E36 20G40)
• 821135
  Völklein, Helmut(D-ERL)
  Fahnentransitive lineare Gruppen über globalen Körpern und über absolut-algebraischen Körpern positiver Charakteristik. (German) [Flag-transitive linear groups over global fields and over absolutely algebraic fields of positive characteristic]
  J. Number Theory 22 (1986), no. 1, 26--45.
  20G30
• 831512
  Völklein, H.(D-ERL)
  Flag-transitive subgroups of Chevalley groups with abelian stabilizers.
  Abh. Math. Sem. Univ. Hamburg 55 (1985), 3--11.
  20G15 (20G20)
• 737957
  Völklein, Helmut(D-ERL)
  Orthogonale Gruppen und die Bedingung der freien Beweglichkeit bei indefiniter Metrik. (German) [Orthogonal groups and the condition of free mobility with indefinite metric]
  Geom. Dedicata 15 (1983), no. 2, 195--213.
  20G15 (51F25)
• 680363
  Völklein, Helmut
  Transitivitätsfragen bei linearen Gruppen. (German) [Transitivity problems in linear groups]
  J. Algebra 78 (1982), no. 2, 341--356.
  51N30 (20H15 51A10)
• 684156
  Völklein, Helmut
  Fahnentransitive lineare Gruppen mit diagonalisierbarer Standgruppe. (German) [Flag-transitive linear groups with diagonalizable isotropy groups]
  Geom. Dedicata 13 (1982), no. 2, 215--229.
  20H20 (51N30)
• 612233
  Völklein, Helmut
  Transitivitätsfragen bei linearen Liegruppen. (German)
  Arch. Math. (Basel) 36 (1981), no. 1, 23--34.
  57S25 (22E15 51H99)