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Enumerating Perfect Groups

✍ Scribed by Holt, D. F.

Book ID
120095849
Publisher
Oxford University Press
Year
1989
Tongue
English
Weight
288 KB
Volume
s2-39
Category
Article
ISSN
0024-6107

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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 log n .