On a finite group having a normal series whose factors have bicyclic Sylow subgroups

Details On a finite group having a normal series whose factors have bicyclic Sylow subgroups On a finite group having a normal series whose factors have bicyclic Sylow subgroups

2009-12-14

arxiv.org/abs/0912.2685v1

Mathematics

Group Theory

9 pages

Scientific paper

We consider the structure of a finite groups having a normal series whose
factors have bicyclic Sylow subgroups. In particular, we investigated groups of
odd order and $A_4$-free groups with this property. Exact estimations of the
derived length and nilpotent length of such groups are obtained.

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