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SOME REMARKS ON p-ADIC ANALYTIC GROUPS
Published online by Cambridge University Press: 01 March 1999
Abstract
A theorem of Maranda [1, Section 30] states that if F is a finite group, p is a prime and pe exactly divides [mid ]F[mid ], then a ℤpF-lattice M is determined up to isomorphism by its finite quotient M/pe+1M. If M is a free ℤp-module of rank d, this is equivalent to saying that representations of F in GLd(ℤp) are determined up to equivalence by their images modulo pe+1.
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- © The London Mathematical Society 1999
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