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On the Number of Conjugacy Classes of π-Elements in a Finite Group

✍ Scribed by Burkhard Külshammer; Geoffrey R. Robinson

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
136 KB
Volume
205
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let G be a finite group and a set of primes. In this note we will prove Ž . 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 .

Ž . Ž . In the following, we denote by F F G the poset of all solvable -sub-࠻ Ž .

Ž . Ä 4 Ž . groups of G and set F F G [ F F G _ 1 . For V g F F G , we denote by

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