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Enumerating p-Groups. I: Inequalities

โœ Scribed by Higman, G.


Book ID
120101963
Publisher
Oxford University Press
Year
1960
Tongue
English
Weight
182 KB
Volume
s3-10
Category
Article
ISSN
0024-6115

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๐Ÿ“œ SIMILAR VOLUMES


Enumerating p-Groups
โœ Sims, C. C. ๐Ÿ“‚ Article ๐Ÿ“… 1965 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 307 KB
Enumerating Perfect Groups
โœ Holt, D. F. ๐Ÿ“‚ Article ๐Ÿ“… 1989 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 288 KB
Enumerating Boundedly Generated Finite G
โœ Alexander Lubotzky ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 66 KB

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 .