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Composition Factors of the Finite Groups Isospectral to Simple Classical Groups. / Staroletov, A. M.

In: Siberian Mathematical Journal, Vol. 62, No. 2, 03.2021, p. 341-356.

Research output: Contribution to journal › Article › peer-review

Harvard

Staroletov, AM 2021, 'Composition Factors of the Finite Groups Isospectral to Simple Classical Groups', Siberian Mathematical Journal, vol. 62, no. 2, pp. 341-356. https://doi.org/10.1134/S0037446621020130

APA

Staroletov, A. M. (2021). Composition Factors of the Finite Groups Isospectral to Simple Classical Groups. Siberian Mathematical Journal, 62(2), 341-356. https://doi.org/10.1134/S0037446621020130

Vancouver

Staroletov AM. Composition Factors of the Finite Groups Isospectral to Simple Classical Groups. Siberian Mathematical Journal. 2021 Mar;62(2):341-356. doi: 10.1134/S0037446621020130

Author

Staroletov, A. M. / Composition Factors of the Finite Groups Isospectral to Simple Classical Groups. In: Siberian Mathematical Journal. 2021 ; Vol. 62, No. 2. pp. 341-356.

BibTeX

@article{e48728167d5f447a94099b39b3d85a8b,
title = "Composition Factors of the Finite Groups Isospectral to Simple Classical Groups",
abstract = "Isospectral are the groups with coinciding sets of element orders.We prove that no finite group isospectral to a finite simple classical grouphas the exceptional groups of types $ E_{7} $ and $ E_{8} $ among its nonabelian composition factors.",
keywords = "512.542, element orders, exceptional group of Lie type, recognition by spectrum, simple classical group",
author = "Staroletov, {A. M.}",
note = "Funding Information: The author was supported by the Russian Foundation for Basic Research (Grant 18–31–20011). Publisher Copyright: {\textcopyright} 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = mar,
doi = "10.1134/S0037446621020130",
language = "English",
volume = "62",
pages = "341--356",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "2",

}

RIS

TY - JOUR

T1 - Composition Factors of the Finite Groups Isospectral to Simple Classical Groups

AU - Staroletov, A. M.

N1 - Funding Information: The author was supported by the Russian Foundation for Basic Research (Grant 18–31–20011). Publisher Copyright: © 2021, Pleiades Publishing, Ltd. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/3

Y1 - 2021/3

N2 - Isospectral are the groups with coinciding sets of element orders.We prove that no finite group isospectral to a finite simple classical grouphas the exceptional groups of types $ E_{7} $ and $ E_{8} $ among its nonabelian composition factors.

AB - Isospectral are the groups with coinciding sets of element orders.We prove that no finite group isospectral to a finite simple classical grouphas the exceptional groups of types $ E_{7} $ and $ E_{8} $ among its nonabelian composition factors.

KW - 512.542

KW - element orders

KW - exceptional group of Lie type

KW - recognition by spectrum

KW - simple classical group

UR - http://www.scopus.com/inward/record.url?scp=85103946895&partnerID=8YFLogxK

U2 - 10.1134/S0037446621020130

DO - 10.1134/S0037446621020130

M3 - Article

AN - SCOPUS:85103946895

VL - 62

SP - 341

EP - 356

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 2

ER -

ID: 28364554