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JOURNALS // Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics) // Archive

PFMT, 2010 Issue 1(2), Pages 63–81 (Mi pfmt155)

This article is cited in 2 papers

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Invariants of finite solvable groups

V. S. Monakhov, A. A. Trofimuk

F. Skorina Gomel State University, Gomel

Abstract: The review of the results connected with invariants of finite solvable groups is given in this article. These results adjoin to the researches of authors. Section 1 contains the list of used designations and definitions. The data about invariants of solvable groups with given structure of Sylow subgroups are collected in Section 2. The estimations of the invariants depending on indexes of the maximal subgroups are listed in Section 3. The information about nilpotent $\pi$-length of $\pi$-solvable groups are contained in Section 4. Open questions are formulated.

Keywords: solvable group, derived length, nilpotent length, $p$-length, $\pi$-length, nilpotent $\pi$-length, chief rank, $p$-rank.

UDC: 517.542

Received: 15.02.2010



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