Title of article
Bounds in groups with trivial Frattini subgroup
Author/Authors
Z. Halasi، نويسنده , , K. Podoski، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
4
From page
893
To page
896
Abstract
Let G be an arbitrary group with finite commutator subgroup G′. We prove that if the Frattini subgroup Φ(G) is trivial then G:Z(G) G′2, and this estimate is sharp. A special case of this result was conjectured by M. Herzog, G. Kaplan and A. Lev.
Keywords
Index of the centre , Frattini subgroup , Primitive permutation group , Commutator subgroup
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698457
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