Once more nice equations for nice groups

Abhyankar, Shreeram S. ; Loomis, Paul A. (1998) Once more nice equations for nice groups Proceedings of the American Mathematical Society, 126 (7). pp. 1885-1896. ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/1998-126-07/S0002...

Related URL: http://dx.doi.org/10.1090/S0002-9939-98-04421-9

Abstract

In a previous paper, nice quintinomial equations were given for unramified coverings of the affine line in nonzero characteristic p with the projective symplectic isometry group PSp(2m, q) and the (vectorial) symplectic isometry group Sp(2m, q) as Galois groups where m > 2 is any integer and q > 1 is any power of p. Here we deform these equations to get nice quintinomial equations for unramified coverings of the once punctured affine line in characteristic p with the projective symplectic similitude group PGSp(2m, q) and the (vectorial) symplectic similitude group GSp(2m, q) as Galois groups.

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