A Criterion for Nonsolvability of a Finite Group and Recognition of Direct Squares of Simple Groups
Author:
Publisher
Springer Science and Business Media LLC
Subject
Logic,Analysis
Link
https://link.springer.com/content/pdf/10.1007/s10469-023-09697-z.pdf
Reference23 articles.
1. M. A. Grechkoseeva, V. D. Mazurov, W. Shi, A. V. Vasil’ev, and N. Yang, “Finite groups isospectral to simple groups,” Comm. Math. Stat., 2022; https://doi.org/10.1007/s40304-022-00288-5.
2. J. Zhang, “Arithmetical conditions on element orders and group structure,” Proc. Am. Math. Soc., 123, No. 1, 39-44 (1995).
3. T. M. Keller, “Solvable groups with a small number of prime divisors in the element orders,” J. Alg., 170, No. 2, 625-648 (1994).
4. I. B. Gorshkov and N. V. Maslova, “The group J4 × J4 is recognizable by spectrum,” J. Alg. Appl., 20, No. 4 (2021), Article ID 2150061.
5. A. V. Vasil’ev and E. P. Vdovin, “Cocliques of maximal size in the prime graph of a finite simple group,” Algebra and Logic, 50, No. 4, 291-322 (2011).
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1. On recognition of the direct squares of the simple groups with abelian Sylow 2-subgroups;Ricerche di Matematica;2024-02-01
2. On recognition of direct powers of finite simple linear groups by spectrum;Annali di Matematica Pura ed Applicata (1923 -);2023-04-26
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