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The Number of Pairwise Non-Commuting Elements and the Index of the Centre in a Finite Group

✍ Scribed by Pyber, L.


Book ID
120095705
Publisher
Oxford University Press
Year
1987
Tongue
English
Weight
168 KB
Volume
s2-35
Category
Article
ISSN
0024-6107

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Let G be a finite group and a set of primes. In this note we will prove Ε½ . two results on the local control of k G, , the number of conjugacy w x classes of -elements in G. Our results will generalize earlier ones in 8 , w x w x 9 , and 3 . Ε½ . Ε½ . In the following, we denote by F F G the poset of