Supersoluble conditions and transfer control
In this paper we give a new condition for a Sylow p-subgroup of a finite group to control transfer. Then it is deduced a characterization of supersoluble group that can be seen as a generalization of the well konwn result concerning the supersolubility of finite groups with cyclic Sylow subgroups. M...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Isfahan
2013-03-01
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| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=2740&_ob=448422e5d677e318f74f297e7784d5a0&fileName=full_text.pdf. |
| Summary: | In this paper we give a new condition for a Sylow p-subgroup of a finite group to control transfer. Then it is deduced a characterization of supersoluble group that can be seen as a generalization of the well konwn result concerning the supersolubility of finite groups with cyclic Sylow subgroups. Moreover a condition for a normal embedding of a strongly closed p-subgroup is given These results make use of the properties of G-chain and Phi-chain. |
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| ISSN: | 2251-7650 2251-7669 |