The average conjugacy class size and the Hall π-subgroups in π-solvable groups
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Published:2023-02-22
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Volume:
Page:
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ISSN:0219-4988
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Container-title:Journal of Algebra and Its Applications
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language:en
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Short-container-title:J. Algebra Appl.
Author:
Dong Shuqin1,
Pan Hongfei1
Affiliation:
1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian, Jiangsu 223300, P. R. China
Abstract
Let [Formula: see text] be a [Formula: see text]-solvable group for some set of primes [Formula: see text]. We show that if [Formula: see text] is a Hall [Formula: see text]-subgroup of [Formula: see text], then [Formula: see text], where [Formula: see text] is the number of conjugacy classes of [Formula: see text].
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory