Further Nice Equations for Nice Groups

Author:
Shreeram S. Abhyankar

Journal:
Trans. Amer. Math. Soc. **348** (1996), 1555-1577

MSC (1991):
Primary 12F10, 14H30, 20D06, 20E22

DOI:
https://doi.org/10.1090/S0002-9947-96-01584-X

MathSciNet review:
1348146

Full-text PDF

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]**S. S. Abhyankar,*Coverings of algebraic curves*, American Journal of Mathematics**79**(1957), 825-856. MR**20:872****[A02]**S. S. Abhyankar,*Tame coverings and fundamental groups of algebraic varieties, Part I*, American Journal of Mathematics**81**(1959), 46-94. MR**21:3428****[A03]**S. S. Abhyankar,*Galois theory on the line in nonzero characteristic, Dedicated to ``Feit-Serre-Email''*, Bulletin of the American Mathematical Society**27**(1992), 68-133. MR**94a:12004****[A04]**S. S. Abhyankar,*Nice equations for nice groups*, Israel Journal of Mathematics**88**(1994), 1-24. 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), 155-170. MR**50:3091****[CaK]**P. J. Cameron and W. M. Kantor,*2-Transitive and antiflag transitive collineation groups of finite projective spaces*, Journal of Algebra**60**(1979), 384-422. 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), 309-313. 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 BN-Pairs*, Springer Lecture Notes In Mathematics Number 386, 1974. MR**57:9866**

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:
https://doi.org/10.1090/S0002-9947-96-01584-X

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