A. N. Skiba, “Cyclicity conditions for $G$-chief factors of normal subgroups of a group $G$”, Sibirsk. Mat. Zh., 52:1 (2011), 161–166; Siberian Math. J., 52:1 (2011), 127

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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 1, Pages 161–166 (Mi smj2185)

This article is cited in 22 scientific papers (total in 22 papers)

Cyclicity conditions for

$G$ -chief factors of normal subgroups of a group

$G$

A. N. Skiba

Francisk Skaryna Gomel State University, Faculty of Mathematics, Gomel, Belarus

Full-text PDF (282 kB) Citations (22)

References:

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Abstract: We find conditions under which every

$G$ -chief factor of a normal subgroup

$E$ of a finite group

$G$ is cyclic.

Keywords: weakly

$S$ -quasinormal subgroup, Sylow subgroup, generalized Fitting subgroup, cyclic chief factor.

Received: 28.01.2010

English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 1, Pages 127–130
DOI: https://doi.org/10.1134/S0037446606010137

Bibliographic databases:

Document Type: Article

UDC: 512.542

Language: Russian

Citation: A. N. Skiba, “Cyclicity conditions for

$G$ -chief factors of normal subgroups of a group

$G$ ”, Sibirsk. Mat. Zh., 52:1 (2011), 161–166; Siberian Math. J., 52:1 (2011), 127–130

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/smj2185

https://www.mathnet.ru/eng/smj/v52/i1/p161

This publication is cited in the following 22 articles:

Fawaz Aseeri, Julian Kaspczyk, “Criteria for supersolvability of saturated fusion systems”, Journal of Algebra, 647 (2024), 910
Changwen Li, “On weakly s-normal subgroups of finite groups”, ADM, 36:2 (2023), 179
Li Ch., “A Note on Weakly H-Subgroups”, Stud. Sci. Math. Hung., 58:1 (2021), 15–18
Li Ch., “A Note on Weakly S-Normal Subgroups of Finite Groups”, Note Mat., 41:1 (2021), 45–53
Al-Sharo Kh.A., “Finite Groups With Given Systems of M-S-Complemented Subgroups”, Bull. Iran Math. Soc., 46:3 (2020), 635–645
Chen L., Mahboob A., Hussain T., Ali I., “Influence of Partially Tau-Embedded Subgroups of Prime Power Order in Supersolubility and P-Nilpotency of Finite Groups”, J. Taibah Univ. Sci., 13:1 (2019), 1044–1049
Wei X., “on Weakly M-SIGMA-Permutable Subgroups of Finite Groups”, Commun. Algebr., 47:3 (2019), 945–956
Huang J., Hu B., “on Generalized M-S-Permutable Subgroups of a Finite Group”, Commun. Algebr., 47:3 (2019), 1299–1310
Li Changwen Huang Jianhong H.B., “Some Sufficient Conditions For P-Nilpotence of a Finite Group”, Rend. Semin. Mat. Univ. Padova, 139 (2018), 195–204
V. A. Vasilyev, “A $\mathfrak{U}_m$ -subnormal subgroup of a finite group”, Acta Math. Hung., 148:1 (2016), 117–131
Zh. Wu, W. Guo, B. Li, “On an open problem of Guo–Skiba”, Front. Math. China, 11:6 (2016), 1603–1612
Yu. Mao, X. Chen, W. Guo, “On $p$ -hypercyclically embedded subgroups of finite groups”, Publ. Math.-Debr., 89:1-2 (2016), 173–186
X. Yi, “Characterizations of hypercyclically embedded subgroups of finite groups”, Rend. Semin. Mat. Univ. Padova, 135 (2016), 195–206
Ch. Li, “A note on a result of Zhang et al.”, Commun. Algebr., 44:10 (2016), 4350–4353
W.-B. Guo, A. N. Skiba, N. Y. Yang, “A generalized $CAP$ -subgroup of a finite group”, Sci. China-Math., 58:10 (2015), 2133–2144
W. Guo, A. N. Skiba, “Finite groups with permutable complete Wielandt sets of subgroups”, J. Group Theory, 18:2 (2015), 191–200
J. Li, W. Shi, D. Yu, “The influence of $S$ -embedded subgroups on the structure of finite groups”, Bull. Iran Math. Soc., 41:1 (2015), 87–100
Ch. Li, X. Yu, N. Tang, “Finite $p$ -supersoluble groups with some $E$ - $S$ -supplemented subgroups”, Rend. Semin. Mat. Univ. Padova, 133 (2015), 79–90
C. W. Li, F. Y. Xie, “Notes on "Finite groups with $S$ -quasinormally embedded and $SS$ -quasinormal subgroups"”, Acta Math. Hung., 144:1 (2014), 212–216

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

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