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Enumerating p-Groups

โœ Scribed by Sims, C. C.

Book ID
120102146
Publisher
Oxford University Press
Year
1965
Tongue
English
Weight
307 KB
Volume
s3-15
Category
Article
ISSN
0024-6115

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๐Ÿ“œ SIMILAR VOLUMES

Enumerating p-Groups. I: Inequalities
Enumerating p-Groups. I: Inequalities
โœ Higman, G. ๐Ÿ“‚ Article ๐Ÿ“… 1960 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 182 KB
Enumerating Perfect Groups
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
Enumerating Boundedly Generated Finite Groups
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 .