Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-30T21:26:52.242Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)