Varieties attached to an -module
Author: Geoffrey Mason
Journal: Proc. Amer. Math. Soc. 116 (1992), 343-350
MSC: Primary 20G05; Secondary 14M99
MathSciNet review: 1100661
Abstract: Let and be an -module with a field containing . We show that is irreducible if and only if there is a subgroup contained in a -Sylow of such that affords the regular representation of . We further show how to construct a variety, defined over an algebraic closure of , whose -rational points parameterize those conjugacy classes of subgroups of , isomorphic to , that are not represented regularly on .
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