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The Coexponent of a Regular p-Group

Paul J. Sanders
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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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Paul J. Sanders. 1998-11-01. The Coexponent of a Regular p-Group. https://arxiv.org/abs/math/9811004

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