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SOME REMARKS ON p-ADIC ANALYTIC GROUPS

Published online by Cambridge University Press:  01 March 1999

DAN SEGAL
DAN SEGAL
Affiliation:
All Souls College, Oxford OX1 4AL
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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.

Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 31 , Issue 2 , March 1999 , pp. 149 - 153
Copyright
© The London Mathematical Society 1999

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