N. V. Maslova, “Nonabelian composition factors of a finite group whose all maximal subgroups are Hall”, Sibirsk. Mat. Zh., 53:5 (2012), 1065–1076; Siberian Math. J., 53:5 (2012), 853

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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 1065–1076 (Mi smj2330)

This article is cited in 15 scientific papers (total in 15 papers)

Nonabelian composition factors of a finite group whose all maximal subgroups are Hall

N. V. Maslova^ab

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University, Ekaterinburg

Full-text PDF (334 kB) Citations (15)

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Abstract: We obtain a full description of nonabelian composition factors for a finite nonsoluble group whose all maximal subgroups are Hall. Thus we solve Problem 17.92 in the “Kourovka Notebook”.

Keywords: finite group, nonsoluble group, maximal subgroup, Hall subgroup, nonabelian composition factor.

Received: 01.12.2011

English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 5, Pages 853–861
DOI: https://doi.org/10.1134/S0037446612050102

Bibliographic databases:

Document Type: Article

UDC: 512.542

Language: Russian

Citation: N. V. Maslova, “Nonabelian composition factors of a finite group whose all maximal subgroups are Hall”, Sibirsk. Mat. Zh., 53:5 (2012), 1065–1076; Siberian Math. J., 53:5 (2012), 853–861

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/smj2330

https://www.mathnet.ru/eng/smj/v53/i5/p1065

This publication is cited in the following 15 articles:

Z. Fan, Z. Gao, J. Zhao, B. Gao, “Finite groups in which maximal subgroups of Sylow $p$ -subgroups are $\mathcal{M}$ -permutable”, Math. Notes, 116:2 (2024), 342–349
V. A. Vedernikov, “Nonsolvable finite groups whose all nonsolvable superlocals are hall subgroups”, Siberian Math. J., 61:5 (2020), 778–794
Zhang Ch., Guo W., Maslova N.V., Revin D.O., “On Prime Spectrum of Maximal Subgroups in Finite Groups”, Algebr. Colloq., 25:4 (2018), 579–584
Irina Sokhor, “On groups with biprimary subgroups of even order”, Algebra Discrete Math., 23:2 (2017), 312–330
I. L. Sokhor, “On finite $\pi$ -soluble groups with no wide subgroups”, PFMT, 2016, no. 1(26), 63–67
N. V. Maslova, D. O. Revin, “Nonabelian composition factors of a finite group whose maximal subgroups of odd indices are Hall subgroups”, Proc. Steklov Inst. Math. (Suppl.), 299, suppl. 1 (2017), 148–157
Alexander N. Skiba, “On Some Results in the Theory of Finite Partially Soluble Groups”, Commun. Math. Stat., 4:3 (2016), 281
N. V. Maslova, “Finite groups with arithmetic restrictions on maximal subgroups”, Algebra and Logic, 54:1 (2015), 65–69
N. V. Maslova, “On the finite prime spectrum minimal groups”, Proc. Steklov Inst. Math. (Suppl.), 295, suppl. 1 (2016), 109–119
E. N. Demina, N. V. Maslova, “Nonabelian composition factors of a finite group with arithmetic constraints to nonsolvable maximal subgroups”, Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 64–76
V. A. Vedernikov, “Finite groups in which every nonsolvable maximal subgroup is a Hall subgroup”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S191–S202
N. V. Maslova, D. O. Revin, “Generation of a finite group with Hall maximal subgroups by a pair of conjugate elements”, Proc. Steklov Inst. Math. (Suppl.), 285, suppl. 1 (2014), S139–S145
N. V. Maslova, D. O. Revin, “On nonabelian composition factors of a finite group that is prime spectrum minimal”, Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 116–127
N. V. Maslova, D. O. Revin, “Finite groups whose maximal subgroups have the Hall property”, Siberian Adv. Math., 23:3 (2013), 196–209
Maslova N.V., Revin D.O., “Svoistva konechnykh grupp s khollovymi maksimalnymi podgruppami”, Matematicheskii forum (itogi nauki. yug Rossii), 6 (2012), 113–121 Properties of finite groups with hall maximal subgroups

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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