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Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group. / Zhurtov, A. Kh; Lytkina, D. V.; Mazurov, V. D.

In: Algebra and Logic, Vol. 62, No. 1, 03.2023, p. 50-53.

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

Harvard

Zhurtov, AK, Lytkina, DV & Mazurov, VD 2023, 'Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group', Algebra and Logic, vol. 62, no. 1, pp. 50-53. https://doi.org/10.1007/s10469-023-09723-0

APA

Zhurtov, A. K., Lytkina, D. V., & Mazurov, V. D. (2023). Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group. Algebra and Logic, 62(1), 50-53. https://doi.org/10.1007/s10469-023-09723-0

Vancouver

Zhurtov AK, Lytkina DV, Mazurov VD. Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group. Algebra and Logic. 2023 Mar;62(1):50-53. doi: 10.1007/s10469-023-09723-0

Author

Zhurtov, A. Kh ; Lytkina, D. V. ; Mazurov, V. D. / Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group. In: Algebra and Logic. 2023 ; Vol. 62, No. 1. pp. 50-53.

BibTeX

@article{679f1942e7984b828dd52fbbf4fd0c50,
title = "Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group",
abstract = "For a finite group G, the spectrum is the set ω(G) of element orders of the group G. The spectrum of G is closed under divisibility and is therefore uniquely determined by the set μ(G) consisting of elements of ω(G) that are maximal with respect to divisibility. We prove that a finite group isospectral to Aut(J2) is unsolvable.",
keywords = "Janko group, automorphism group, spectrum",
author = "Zhurtov, {A. Kh} and Lytkina, {D. V.} and Mazurov, {V. D.}",
note = "D. V. Lytkina and V. D. Mazurov are supported by Russian Science Foundation, grant No. 23-41-10003. Публикация для корректировки.",
year = "2023",
month = mar,
doi = "10.1007/s10469-023-09723-0",
language = "English",
volume = "62",
pages = "50--53",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "1",

}

RIS

TY - JOUR

T1 - Unsolvability of Finite Groups Isospectral to the Automorphism Group of the Second Sporadic Janko Group

AU - Zhurtov, A. Kh

AU - Lytkina, D. V.

AU - Mazurov, V. D.

N1 - D. V. Lytkina and V. D. Mazurov are supported by Russian Science Foundation, grant No. 23-41-10003. Публикация для корректировки.

PY - 2023/3

Y1 - 2023/3

N2 - For a finite group G, the spectrum is the set ω(G) of element orders of the group G. The spectrum of G is closed under divisibility and is therefore uniquely determined by the set μ(G) consisting of elements of ω(G) that are maximal with respect to divisibility. We prove that a finite group isospectral to Aut(J2) is unsolvable.

AB - For a finite group G, the spectrum is the set ω(G) of element orders of the group G. The spectrum of G is closed under divisibility and is therefore uniquely determined by the set μ(G) consisting of elements of ω(G) that are maximal with respect to divisibility. We prove that a finite group isospectral to Aut(J2) is unsolvable.

KW - Janko group

KW - automorphism group

KW - spectrum

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85180664922&origin=inward&txGid=35cdb72f4fc61249c90b3ce2ae7f4f67

UR - https://www.mendeley.com/catalogue/6bcf5344-5c4b-3aa7-968c-62d911b16412/

U2 - 10.1007/s10469-023-09723-0

DO - 10.1007/s10469-023-09723-0

M3 - Article

VL - 62

SP - 50

EP - 53

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 1

ER -

ID: 59654553