Invariants of finite solvable groups

Victor Monakhov, Alexander Trofimuk

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

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