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

2009/12/14 by V. S. Monakhov, Monakhov, V. S., A. A. Trofimuk +1
Mathematics · #20D10 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20D10

paper · pdf · doi:10.48550/arxiv.0912.2685

9 pages

arxiv created 2009/12/14 · arxiv updated 2010/01/14

Abstract

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 A₄-free groups with this property. Exact estimations of the derived length and nilpotent length of such groups are obtained.

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