In this paper we are concerned with finite soluble groups admitting a factorisation G=AB, with A and B proper subgroups having coprime order. We are interested in bounding the Fitting height of G in terms of some group-invariants of A and B including the Fitting heights and the derived lengths.
On the Fitting height of factorised soluble groups
JABARA, Enrico;
2014-01-01
Abstract
In this paper we are concerned with finite soluble groups admitting a factorisation G=AB, with A and B proper subgroups having coprime order. We are interested in bounding the Fitting height of G in terms of some group-invariants of A and B including the Fitting heights and the derived lengths.
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