On coprime G-conjugacy class sizes in a normal subgroup

Autor:	Gui Yun Chen, Hai Peng Qu, Xian He Zhao
Rok vydání:	2014
Předmět:	Combinatorics Normal subgroup Mathematics::Group Theory Normal p-complement Class (set theory) Conjugacy class Coprime integers Group (mathematics) Applied Mathematics General Mathematics Square-free integer Frobenius group Mathematics
Zdroj:	Acta Mathematica Sinica, English Series. 30:1588-1594
ISSN:	1439-7617 1439-8516
DOI:	10.1007/s10114-014-2803-6
Popis:	Let N be a normal subgroup of a group G. Suppose that the positive integers m > n are two longest non-central G-conjugacy class sizes of N with (m, n) = 1. The purpose of this paper is to determine the structure of N and give the N-conjugacy class sizes of the elements in N under that assumption that m is square free.
Databáze:	OpenAIRE
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