Enumerating boundedly generated finite groups

Alexander Lubotzky

doi:10.1006/jabr.2000.8650

Enumerating boundedly generated finite groups

Alexander Lubotzky^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

We prove a conjecture of Mann and Pyber which estimates the number of finite groups of a given order and a given number of generators. This implies that the normal subgroup growth of free groups is of rate n^logn.

Original language	English
Pages (from-to)	194-199
Number of pages	6
Journal	Journal of Algebra
Volume	238
Issue number	1
DOIs	https://doi.org/10.1006/jabr.2000.8650
State	Published - 1 Apr 2001

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Enumerating boundedly generated finite groups

Abstract

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