[GAP Forum] About chief factor

=?gbk?B?wfW9qL78?= ljj198123 at 126.com
Mon Aug 10 03:27:06 BST 2009


Dear  GAP forum
  Let $G$ be a finite group. A chief factor $H/K$ of $G$ is called a Fratti=
ni chief factor of $G$ if $H/K=A1=DC=A6=B5(G/K)$, the Frattini subgroup of =
$G/K$.
=20
How to find every  Frattini chief factors $H/K$ of $G$ ?
How to descrip $H$? (i.e.: What is  StructureDescription(H)?)
The attrribute "ChiefSeries(G)" returns one cheif series(of potentially man=
y posibilities). Thus, we cannot get all the Frattini chief factors of ever=
y chief series of $G$ by "ChiefSeries(G)".
   Is there a method to get them?
   Best wishes
  Jianjun Liu




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