In this paper we are concerned with finite soluble groups G admitting a factorisation G D 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.
Casolo, C., Jabara, E., Spiga, P. (2014). On the Fitting height of factorised soluble groups. JOURNAL OF GROUP THEORY, 17(5), 911-924 [10.1515/jgt-2014-0015].
On the Fitting height of factorised soluble groups
SPIGA, PABLO
2014
Abstract
In this paper we are concerned with finite soluble groups G admitting a factorisation G D 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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