Further Nice Equations for Nice Groups
Author:
Shreeram S. Abhyankar
Journal:
Trans. Amer. Math. Soc. 348 (1996), 15551577
MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22
MathSciNet review:
1348146
Fulltext PDF Free Access
Abstract 
References 
Similar Articles 
Additional Information
Abstract: Nice sextinomial equations are given for unramified coverings of the affine line in nonzero characteristic with P and as Galois groups where is any integer and is any power of .
 [A01]
Shreeram
Abhyankar, Coverings of algebraic curves, Amer. J. Math.
79 (1957), 825–856. MR 0094354
(20 #872)
 [A02]
Shreeram
Abhyankar, Tame coverings and fundamental groups of algebraic
varieties. I. Branch loci with normal crossings; Applications: Theorems of
Zariski and Picard, Amer. J. Math. 81 (1959),
46–94. MR
0104675 (21 #3428)
 [A03]
Shreeram
S. Abhyankar, Galois theory on the line in nonzero
characteristic, Bull. Amer. Math. Soc.
(N.S.) 27 (1992), no. 1, 68–133. MR 1118002
(94a:12004), http://dx.doi.org/10.1090/S027309791992002707
 [A04]
S. S. Abhyankar, Nice equations for nice groups, Israel Journal of Mathematics 88 (1994), 124. MR 95:04
 [A05]
S. S. Abhyankar, More nice equations for nice groups, Proceedings of the American Mathematical Society (to appear).
 [Asc]
Michael
Aschbacher, Finite group theory, Cambridge Studies in Advanced
Mathematics, vol. 10, Cambridge University Press, Cambridge, 1986. MR 895134
(89b:20001)
 [BuS]
Francis
Buekenhout and Ernest
Shult, On the foundations of polar geometry, Geometriae
Dedicata 3 (1974), 155–170. MR 0350599
(50 #3091)
 [CaK]
P.
J. Cameron and W.
M. Kantor, 2transitive and antiflag transitive collineation groups
of finite projective spaces, J. Algebra 60 (1979),
no. 2, 384–422. MR 549937
(81c:20032), http://dx.doi.org/10.1016/00218693(79)900905
 [Dic]
L. E. Dickson, Linear Groups, Teubner, 1901.
 [Kan]
William
M. Kantor, Rank 3 characterizations of classical geometries,
J. Algebra 36 (1975), no. 2, 309–313. MR 0387386
(52 #8229)
 [LiK]
Peter
Kleidman and Martin
Liebeck, The subgroup structure of the finite classical
groups, London Mathematical Society Lecture Note Series,
vol. 129, Cambridge University Press, Cambridge, 1990. MR 1057341
(91g:20001)
 [Tay]
Donald
E. Taylor, The geometry of the classical groups, Sigma Series
in Pure Mathematics, vol. 9, Heldermann Verlag, Berlin, 1992. MR 1189139
(94d:20028)
 [Tit]
Jacques
Tits, Buildings of spherical type and finite BNpairs, Lecture
Notes in Mathematics, Vol. 386, SpringerVerlag, BerlinNew York, 1974. MR 0470099
(57 #9866)
 [A01]
 S. S. Abhyankar, Coverings of algebraic curves, American Journal of Mathematics 79 (1957), 825856. MR 20:872
 [A02]
 S. S. Abhyankar, Tame coverings and fundamental groups of algebraic varieties, Part I, American Journal of Mathematics 81 (1959), 4694. MR 21:3428
 [A03]
 S. S. Abhyankar, Galois theory on the line in nonzero characteristic, Dedicated to ``FeitSerreEmail'', Bulletin of the American Mathematical Society 27 (1992), 68133. MR 94a:12004
 [A04]
 S. S. Abhyankar, Nice equations for nice groups, Israel Journal of Mathematics 88 (1994), 124. MR 95:04
 [A05]
 S. S. Abhyankar, More nice equations for nice groups, Proceedings of the American Mathematical Society (to appear).
 [Asc]
 M. Aschbacher, Finite Group Theory, Cambridge University Press, 1986. MR 89b:20001
 [BuS]
 F. Buekenhout and E. E. Shult, On the foundations of polar geometry, Geometriae Dedicata 3 (1974), 155170. MR 50:3091
 [CaK]
 P. J. Cameron and W. M. Kantor, 2Transitive and antiflag transitive collineation groups of finite projective spaces, Journal of Algebra 60 (1979), 384422. MR 81c:20032
 [Dic]
 L. E. Dickson, Linear Groups, Teubner, 1901.
 [Kan]
 W. M. Kantor, Rank 3 characterizations of classical geometries, Journal of Algebra 36 (1975), 309313. MR 52:8229
 [LiK]
 M. W. Liebeck and P. Kleidman, The Subgroup Structure of the Finite Classical Groups, Cambridge University Press, 1990. MR 91g:20001
 [Tay]
 D. E. Taylor, The Geometry of the Classical Groups, Heldermann Verlag, Berlin, 1992. MR 94d:20028
 [Tit]
 J. Tits, Buildings of Spherical Type and Finite BNPairs, Springer Lecture Notes In Mathematics Number 386, 1974. MR 57:9866
Similar Articles
Retrieve articles in Transactions of the American Mathematical Society
with MSC (1991):
12F10,
14H30,
20D06,
20E22
Retrieve articles in all journals
with MSC (1991):
12F10,
14H30,
20D06,
20E22
Additional Information
Shreeram S. Abhyankar
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
ram@cs.purdue.edu
DOI:
http://dx.doi.org/10.1090/S000299479601584X
PII:
S 00029947(96)01584X
Received by editor(s):
March 23, 1995
Additional Notes:
This work was partly supported by NSF grant DMS 91–01424 and NSA grant MDA 904–92–H–3035.
Article copyright:
© Copyright 1996
American Mathematical Society
