On the nilpotency of the solvable radical of a finite group isospectral to a simple group-Reference-Cited by-同舟云学术

On the nilpotency of the solvable radical of a finite group isospectral to a simple group

Published:2020-05-01 Issue:3 Volume:23 Page:447-470
ISSN:1435-4446
Container-title:Journal of Group Theory
language:
Short-container-title:

Author:

Yang Nanying¹,Grechkoseeva Mariya A.²,Vasil’ev Andrey V.²

Affiliation:

1. School of Science, Jiangnan University, Wuxi, 214122, P. R. China

2. Sobolev Institute of Mathematics, Koptyuga 4, Novosibirsk630090, Russia

Abstract

AbstractWe refer to the set of the orders of elements of a finite group as its spectrum and say that groups are isospectral if their spectra coincide. We prove that, except for one specific case, the solvable radical of a nonsolvable finite group isospectral to a finite simple group is nilpotent.

Funder

National Natural Science Foundation of China

Russian Foundation for Basic Research

Publisher

Walter de Gruyter GmbH

Subject

Algebra and Number Theory

Link

https://www.degruyter.com/downloadpdf/journals/jgth/23/3/article-p447.xml

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