Finite Groups Isospectral to Simple Groups

Finite Groups Isospectral to Simple Groups Full article

Journal

Communications in Mathematics and Statistics
ISSN: 2194-6701 , E-ISSN: 2194-671X

Output data

Year: 2023, Volume: 11, Number: 2, Pages: 169–194 Pages count : 26 DOI: 10.1007/s40304-022-00288-5

Tags

Element order; Finite group; Recognition by spectrum; Simple group; Spectrum

Authors

Grechkoseeva M.A. ¹ , Mazurov V.D. ¹ , Shi W. ^2,3 , Vasil’ev A.V. ^1,4 , Yang N. ⁵

Affiliations

1	Sobolev Institute of Mathematics, Koptyuga 4, Novosibirsk, 630090, Russian Federation
2	Department of Mathematics, Chongqing University of Arts and Sciences, Chongqing, 402160, China
3	School of Mathematics, Suzhou University, Suzhou, 215006, China
4	School of Science, Hainan University, Hainan, Haikou, 570228, China
5	School of Science, Jiangnan University, Wuxi, 214122, China

Funding (1)

Russian Foundation for Basic Research

20-51-00007

The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.

Grechkoseeva M.A. , Mazurov V.D. , Shi W. , Vasil’ev A.V. , Yang N.
Finite Groups Isospectral to Simple Groups
Communications in Mathematics and Statistics. 2023. V.11. N2. P.169–194. DOI: 10.1007/s40304-022-00288-5 WOS Scopus РИНЦ OpenAlex

Submitted:	Dec 8, 2021
Accepted:	Feb 12, 2022
Published online:	Aug 26, 2022
Published print:	Jun 15, 2023

Web of science:	WOS:000844950200001
Scopus:	2-s2.0-85137055971
Elibrary:	59811121
OpenAlex:	W3216571721

DB	Citing
Scopus	14
Web of science	10
OpenAlex	13