we are concerned with finite soluble groups G admitting a factori- sation 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, includ- ing the Fitting heights and the derived lengths.
On the Fitting height of factorised soluble groups / Carlo Casolo; Enrico Jabara; Pablo Spiga. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - STAMPA. - 17:(2014), pp. 911-924. [10.1515/jgt-2014-0015]
On the Fitting height of factorised soluble groups
CASOLO, CARLO;
2014
Abstract
we are concerned with finite soluble groups G admitting a factori- sation 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, includ- ing the Fitting heights and the derived lengths.
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