Invariants of finite solvable groups

Viktor Monakhov ; Alexander Trofimuk

Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 107-131.

Résumé

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.

Détail

Keywords: derived length, nilpotent lengths, $p$-length, $\pi$-length, nilpotent $\pi$-length, rank, $p$-rank, metacyclic group, bicyclic group
Mots-clés : $\pi$-solvable group.

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