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Matematicheskie Zametki, 2001, Volume 70, Issue 4, Pages 603–612
DOI: https://doi.org/10.4213/mzm772 (Mi mzm772) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Maximal and Sylow Subgroups of Solvable Finite Groups

V. S. Monakhov, E. E. Gribovskaya

Francisk Skorina Gomel State University
Full-text PDF (210 kB) Citations (15)
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DOI: https://doi.org/10.4213/mzm772
Abstract: The structure of finite solvable groups in which any Sylow subgroup is the product of two cyclic subgroups is studied. In particular, it is proved that the nilpotent length of such a group is no greater than 4. It is also proved that the nilpotent length of a finite solvable group in which the index of any maximal subgroup is either a prime or the square of a prime or the cube of a prime does not exceed 5.
Received: 03.04.2000
Revised: 05.12.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 4, Pages 545–552
DOI: https://doi.org/10.1023/A:1012389005374
Bibliographic databases:
UDC: 512.542
Language: Russian
Citation: V. S. Monakhov, E. E. Gribovskaya, “Maximal and Sylow Subgroups of Solvable Finite Groups”, Mat. Zametki, 70:4 (2001), 603–612; Math. Notes, 70:4 (2001), 545–552
Citation in format AMSBIB
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\by V.~S.~Monakhov, E.~E.~Gribovskaya
\paper Maximal and Sylow Subgroups of Solvable Finite Groups
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\vol 70
\issue 4
\pages 603--612
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\zmath{https://zbmath.org/?q=an:1035.20015}
\transl
\jour Math. Notes
\yr 2001
\vol 70
\issue 4
\pages 545--552
\crossref{https://doi.org/10.1023/A:1012389005374}
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    • This publication is cited in the following 15 articles:
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