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JOURNALS // Algebra and Discrete Mathematics // Archive
Algebra Discrete Math., 2012 Volume 14, Issue 1, Pages 107–131 (Mi adm87)
This article is cited 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.

MSC: 20D10

Received: 10.05.2012
Revised: 21.05.2012

Language: English



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