Subgrouppermutability in a finite group is studied, in order to distinguish between irreducible and reducible groups and to give a bound for the diameter. A simple nonabelian finite group is irreducible and its diameter is less or equal 16 while a reducible group is forced to be soluble and the bound of the diameter of such a group is 4.
Finite groups and subgroup-permutability / M. Bianchi, A. Mauri, L. Verardi. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - 169:1(1995), pp. 251-268.
Finite groups and subgroup-permutability
M. Bianchi;
1995
Abstract
Subgrouppermutability in a finite group is studied, in order to distinguish between irreducible and reducible groups and to give a bound for the diameter. A simple nonabelian finite group is irreducible and its diameter is less or equal 16 while a reducible group is forced to be soluble and the bound of the diameter of such a group is 4.
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