In this paper it is given a new condition for a Sylow p-subgroup of a finite group to control the transfer. Then it is deduced a characterization of supersoluble groups that can be seen as a generalization of the well known result concerning the supersolubility of finite groups with cyclic Sylow subgroups.
Supersoluble Conditions and Transfer Control / Anna Luisa Gilotti; Luigi Serena. - In: INTERNATIONAL JOURNAL OF GROUP THEORY. - ISSN 2251-7650. - STAMPA. - 2:(2013), pp. 157-166.
Supersoluble Conditions and Transfer Control
SERENA, LUIGI
2013
Abstract
In this paper it is given a new condition for a Sylow p-subgroup of a finite group to control the transfer. Then it is deduced a characterization of supersoluble groups that can be seen as a generalization of the well known result concerning the supersolubility of finite groups with cyclic Sylow subgroups.
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