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Algebra and Discrete Mathematics, 2012, Volume 14, Issue 1, Pages 107–131
(Mi adm87)
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This article is cited in 2 scientific papers (total in 2 papers)
SURVEY ARTICLE
Invariants of finite solvable groups
Viktor Monakhova, Alexander Trofimukb a Department of Mathematics, Gomel Francisk Skorina State University, Gomel 246019, Belarus
b Department of Mathematics, A. S. Pushkin Brest State University, Brest 224016, Belarus
Abstract:
The article contains the results about invariants of solvable groups with given structure of Sylow subgroups and information about the nilpotent $\pi$-length of $\pi$-solvable groups. Open questions are formulated.
Keywords:
derived length, nilpotent lengths, $p$-length, $\pi$-length, nilpotent $\pi$-length, rank, $p$-rank, metacyclic group, bicyclic group, $\pi$-solvable group.
Received: 10.05.2012 Revised: 21.05.2012
Citation:
Viktor Monakhov, Alexander Trofimuk, “Invariants of finite solvable groups”, Algebra Discrete Math., 14:1 (2012), 107–131
Linking options:
https://www.mathnet.ru/eng/adm87 https://www.mathnet.ru/eng/adm/v14/i1/p107
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Statistics & downloads: |
Abstract page: | 450 | Full-text PDF : | 260 | References: | 68 | First page: | 1 |
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