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On a Finite Group Having a Normal Series Whose Factors Have Bicyclic Sylow Subgroups
Authors:V. S. Monakhov
Affiliation:Department of Mathematics , Gomel Francisk Skorina State University , Gomel , Belarus
Abstract:We consider the structure of a finite group having a normal series whose factors have bicyclic Sylow subgroups. In particular, we investigate 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.
Keywords:Bicyclic Sylow subgroups  Derived length  A 4-Free groups  Normal series  Nilpotent length
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