Völklein, Helmut
57
papers
- 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)
Last update made
Thu May 28 14:02:44 EDT 2009