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On Recognition of Low-Dimensional Linear and Unitary Groups by Spectrum. / Grechkoseeva, M. A.; Panshin, V. V.

In: Siberian Mathematical Journal, Vol. 65, No. 5, 25.09.2024, p. 1074-1095.

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

Harvard

Grechkoseeva, MA & Panshin, VV 2024, 'On Recognition of Low-Dimensional Linear and Unitary Groups by Spectrum', Siberian Mathematical Journal, vol. 65, no. 5, pp. 1074-1095. https://doi.org/10.1134/S0037446624050094

APA

Grechkoseeva, M. A., & Panshin, V. V. (2024). On Recognition of Low-Dimensional Linear and Unitary Groups by Spectrum. Siberian Mathematical Journal, 65(5), 1074-1095. https://doi.org/10.1134/S0037446624050094

Vancouver

Grechkoseeva MA, Panshin VV. On Recognition of Low-Dimensional Linear and Unitary Groups by Spectrum. Siberian Mathematical Journal. 2024 Sept 25;65(5):1074-1095. doi: 10.1134/S0037446624050094

Author

Grechkoseeva, M. A. ; Panshin, V. V. / On Recognition of Low-Dimensional Linear and Unitary Groups by Spectrum. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 5. pp. 1074-1095.

BibTeX

@article{cc660acaabf540c9ab67ccad26e30ef5,
title = "On Recognition of Low-Dimensional Linear and Unitary Groups by Spectrum",
abstract = "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. ",
keywords = "512.542, element order, recognition by spectrum, simple classical group",
author = "Grechkoseeva, {M. A.} and Panshin, {V. V.}",
note = "The work is supported by the Russian Science Foundation, Project 24–11–00127, https://rscf.ru/en/project/24-11-00127/.",
year = "2024",
month = sep,
day = "25",
doi = "10.1134/S0037446624050094",
language = "English",
volume = "65",
pages = "1074--1095",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "5",

}

RIS

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 -

ID: 60797430