Unsolvability of finite groups isospectral to automorphism group of the second sporsdic Janko group Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2023, Volume: 62, Number: 1, Pages: 50-53 Pages count : 4 DOI: 10.1007/s10469-023-09723-0 | ||||||||
| Tags | automorphism group, Janko group, spectrum | ||||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 23-41-10003 |
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.
Cite:
Zhurtov A.K.
, Lytkina D.V.
, Mazurov V.D.
Unsolvability of finite groups isospectral to automorphism group of the second sporsdic Janko group
Algebra and Logic. 2023. V.62. N1. P.50-53. DOI: 10.1007/s10469-023-09723-0 WOS Scopus РИНЦ OpenAlex
Unsolvability of finite groups isospectral to automorphism group of the second sporsdic Janko group
Algebra and Logic. 2023. V.62. N1. P.50-53. DOI: 10.1007/s10469-023-09723-0 WOS Scopus РИНЦ OpenAlex
Original:
Журтов А.Х.
, Лыткина Д.В.
, Мазуров В.Д.
Неразрешимость конечных групп, изоспектральных группе автоморфизмов второй спорадической группы Янко
Алгебра и логика. 2023. Т.62. №1. С.71-75. DOI: 10.33048/alglog.2023.62.104 РИНЦ
Неразрешимость конечных групп, изоспектральных группе автоморфизмов второй спорадической группы Янко
Алгебра и логика. 2023. Т.62. №1. С.71-75. DOI: 10.33048/alglog.2023.62.104 РИНЦ
Dates:
| Submitted: | Jul 25, 2023 |
| Accepted: | Oct 30, 2023 |
| Published print: | Dec 28, 2023 |
| Published online: | Dec 28, 2023 |
Identifiers:
| Web of science: | WOS:001132426200001 |
| Scopus: | 2-s2.0-85180664922 |
| Elibrary: | 64756400 |
| OpenAlex: | W4390348380 |