TY - JOUR

T1 - On Recognition of Low-Dimensional Linear and Unitary Groups by Spectrum

AU - Grechkoseeva, M. A.

AU - Panshin, V. V.

N1 - The work is supported by the Russian Science Foundation, Project 24–11–00127, https://rscf.ru/en/project/24-11-00127/.

PY - 2024/9/25

Y1 - 2024/9/25

N2 - Finite groups are isospectral if they have the same sets of element orders. We complete the description of the finite groups isospectral to the simple groups,, and, with odd. We also prove that the exceptional groups of Lie type do not occur among the composition factors of finite groups isospectral to simple classical groups.

AB - Finite groups are isospectral if they have the same sets of element orders. We complete the description of the finite groups isospectral to the simple groups,, and, with odd. We also prove that the exceptional groups of Lie type do not occur among the composition factors of finite groups isospectral to simple classical groups.

KW - 512.542

KW - element order

KW - recognition by spectrum

KW - simple classical group

UR - https://elibrary.ru/item.asp?id=69920885

UR - https://www.mendeley.com/catalogue/f16186a8-dd7f-3fff-8ef5-796e850e5f96/

U2 - 10.1134/S0037446624050094

DO - 10.1134/S0037446624050094

M3 - Article

VL - 65

SP - 1074

EP - 1095

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 5

ER -