Can I read Maximal Subgroups of Finite Soluble Groups in General Position on EtoBox?

Maximal Subgroups of Finite Soluble Groups in General Position by Detomi, Eloisa; Lucchini, Andrea is a scholarly article available to read on EtoBox.

What is Maximal Subgroups of Finite Soluble Groups in General Position about?

For a finite group $G$ we investigate the difference between the maximum size MaxDim$(G)$ of an "independent" family of maximal subgroups of $G$ and maximum size $m(G)$ of an irredundant sequence of generators of $G$. We prove that MaxDim$(G)=m(G)$ if the derived subgroup of $G$ is nilpotent. However MaxDim$(G)-m(G)$ can be arbitrarily large: for any odd prime $p,$ we construct a finite soluble group with Fitting length 2 satisfying $m(G)=3$ and MaxDim$(G)=p.$

Author

Detomi, Eloisa; Lucchini, Andrea

Published

2015

Language

EN