V. S. Monakhov, D. A. Khadanovich, “On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices”, PFMT, 2018, no. 2(35), 57

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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2018, Issue 2(35), Pages 57–59 (Mi pfmt568)

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices

V. S. Monakhov, D. A. Khadanovich

F. Scorina Gomel State University

Full-text PDF (304 kB) Citations (1)

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Abstract: The solvability of a finite group

$G$ with two non-conjugate maximal subgroups

$A$ and

$B$ has been proved. It satisfies the following requirements: subgroups

$A$ and

$B$ have primary indices in

$G$ ; all proper subgroups of

$A$ and

$B$ are supersoluble.

Keywords: finite group, solvable group, maximal subgroup, supersoluble subgroup, non-conjugate subgroups, primary index.

Received: 15.03.2018

Document Type: Article

UDC: 512.542

Language: Russian

Citation: V. S. Monakhov, D. A. Khadanovich, “On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices”, PFMT, 2018, no. 2(35), 57–59

Citation in format AMSBIB

\Bibitem{MonHod18}

\by V.~S.~Monakhov, D.~A.~Khadanovich

\paper On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices

\jour PFMT

\yr 2018

\issue 2(35)

\pages 57--59

\mathnet{http://mi.mathnet.ru/pfmt568}

Linking options:

https://www.mathnet.ru/eng/pfmt568

https://www.mathnet.ru/eng/pfmt/y2018/i2/p57

Cycle of papers

On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices
V. S. Monakhov, D. A. Khadanovich
PFMT, 2018:2(35), 57–59
On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices II
V. S. Monakhov, D. A. Khadanovich
PFMT, 2019:1(38), 61–64

This publication is cited in the following 1 articles:

V. S. Monakhov, D. A. Khodanovich, “O razreshimosti konechnoi gruppy s paroi nesopryazhennykh podgrupp primarnykh indeksov II”, PFMT, 2019, no. 1(38), 61–64

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

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Abstract page:	312
Full-text PDF :	96
References:	55

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