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The coexponent of a regular p-group

Publisher
MARCEL DEKKER INC
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Keywords
  • Qa Mathematics

Abstract

A sharp bound is derived for the nilpotency class of a regular p-group in terms of its coexponent, and is used to show that the number of groups of order p(n) with a given fixed coexponent, is independent of n, for p and n sufficiently large. Explicit formulae are calculated in the case of coexponent 3.

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