V. S. Monakhov, I. K. Chirik, “On the $p$-supersolvability of a finite factorizable group with normal factors”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 256

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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 3, Pages 256–267 (Mi timm1217)

This article is cited in 14 scientific papers (total in 14 papers)

On the

$p$ -supersolvability of a finite factorizable group with normal factors

V. S. Monakhov^a, I. K. Chirik^b

^a Francisk Skaryna Gomel State University, Faculty of Mathematics
^b Gomel Engineering Institute, Ministry of Extraordinary Situations of the Republic of Belarus

Full-text PDF (202 kB) Citations (14)

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Abstract: We obtain "

$p$ -analogs" of known criteria for the supersolvability of a finite group

$G=AB$ with normal supersolvable subgroups

$A$ and

$B$ . In addition, new sufficient conditions for the supersolvability of a finite group are found under stronger conditions than the supersolvability of normal factors.

Keywords: finite group,

$p$ -supersolvable group,

$p$ -solvable group, mnp-group, t-group.

Received: 29.12.2014

Bibliographic databases:

Document Type: Article

UDC: 512.542

Language: Russian

Citation: V. S. Monakhov, I. K. Chirik, “On the

$p$ -supersolvability of a finite factorizable group with normal factors”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 3, 2015, 256–267

Citation in format AMSBIB

\Bibitem{MonChi15}

\by V.~S.~Monakhov, I.~K.~Chirik

\paper On the $p$-supersolvability of a finite factorizable group with normal factors

\serial Trudy Inst. Mat. i Mekh. UrO RAN

\yr 2015

\vol 21

\issue 3

\pages 256--267

\mathnet{http://mi.mathnet.ru/timm1217}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3468108}

\elib{https://elibrary.ru/item.asp?id=24156728}

Linking options:

https://www.mathnet.ru/eng/timm1217

https://www.mathnet.ru/eng/timm/v21/i3/p256

This publication is cited in the following 14 articles:

A. A. Trofimuk, “Finite groups with given systems of propermutable subgroups”, Eurasian Math. J., 15:1 (2024), 91–97
S. V. Balychev, V. I. Murashko, “O vliyanii $\mathfrak{F}$-gipertsentra na strukturu konechnykh multifaktorizuemykh grupp”, Tr. IMM UrO RAN, 30, no. 4, 2024, 55–63
V. S. Monakhov, A. A. Trofimuk, “Remarks on the Supersolvability of a Group with Prime Indices of Some Subgroups”, Math. Notes, 107:2 (2020), 288–295
V. S. Monakhov, A. A. Trofimuk, “On supersolubility of a group with seminormal subgroups”, Siberian Math. J., 61:1 (2020), 118–126
A. Trofimuk, “On $p$-nilpotency of finite group with normally embedded maximal subgroups of some Sylow subgroups”, Algebra Discrete Math., 29:1 (2020), 139–146
V. S. Monakhov, A. A. Trofimuk, “On the supersolubility of a group with semisubnormal factors”, J. Group Theory, 23:5 (2020), 893–911
V. S. Monakhov, A. A. Trofimuk, “On the supersolubility of a finite group with ns-supplemented subgroups”, Acta Math. Hung., 160:1 (2020), 161–167
V. S. Monakhov, A. A. Trofimuk, “Finite groups with two supersoluble subgroups”, J. Group Theory, 22:2 (2019), 297–312
V. S. Monakhov, A. A. Trofimuk, “Supersolubility of a finite group with normally embedded maximal subgroups in Sylow subgroups”, Siberian Math. J., 59:5 (2018), 922–930
V. S. Monakhov, I. K. Chirik, “On the supersoluble residual of a product of subnormal supersoluble subgroups”, Siberian Math. J., 58:2 (2017), 271–280
V. S. Monakhov, I. K. Chirik, “Konechnye gruppy, faktorizuemye subnormalnymi sverkhrazreshimymi podgruppami”, PFMT, 2016, no. 3(28), 40–46
A. F. Vasilev, T. I. Vasileva, E. N. Myslovets, “O konechnykh gruppakh s zadannym normalnym stroeniem”, Sib. elektron. matem. izv., 13 (2016), 897–910
E. N. Myslovets, “$J$-construction of composition formations and products of finite groups”, PFMT, 2016, no. 4(29), 68–73
V. S. Monakhov, I. K. Chirik, “O $p$-sverkhrazreshimom koradikale proizvedeniya normalnykh $p$-sverkhrazreshimykh podgrupp”, Tr. In-ta matem., 23:2 (2015), 88–96

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

Trudy Instituta Matematiki i Mekhaniki UrO RAN

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