The group J4 × J4 is recognizable by spectrum-Reference-Cited by-同舟云学术

The group J4 × J4 is recognizable by spectrum

Published:2020-02-27 Issue:04 Volume:20 Page:2150061
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Gorshkov Ilya B.¹^ORCID,Maslova Natalia V.²³

Affiliation:

1. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia

2. Krasovskii Institute of Mathematics and Mechanics, UB RAS, Yekaterinburg, Russia

3. Ural Federal University, Yekaterinburg, Russia

Abstract

The spectrum of a finite group is the set of its element orders. In this paper, we prove that the direct product of two copies of the finite simple sporadic group [Formula: see text] is uniquely determined by its spectrum in the class of all finite groups.

Funder

Russian Foundation for Basic Research

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498821500614

Reference23 articles.

1. Spectra of finite symplectic and orthogonal groups

2. Spectra of finite linear and unitary groups

3. Chapter I, from Solvability of groups of odd order, Pacific J. Math, vol. 13, no. 3 (1963

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