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. |
| _version_ | 1818269991259078656 |
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| author | Anna Luisa Gilotti Luigi Serena |
| author_facet | Anna Luisa Gilotti Luigi Serena |
| author_sort | Anna Luisa Gilotti |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T21:03:10Z |
| format | Article |
| id | doaj.art-fd17a394d97b44e89b8f15bdb6039217 |
| institution | Directory Open Access Journal |
| issn | 2251-7650 2251-7669 |
| language | English |
| last_indexed | 2024-12-12T21:03:10Z |
| publishDate | 2013-03-01 |
| publisher | University of Isfahan |
| record_format | Article |
| series | International Journal of Group Theory |
| spelling | doaj.art-fd17a394d97b44e89b8f15bdb60392172022-12-22T00:12:05ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692013-03-0121157166Supersoluble conditions and transfer controlAnna Luisa GilottiLuigi SerenaIn 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.http://www.theoryofgroups.ir/?_action=showPDF&article=2740&_ob=448422e5d677e318f74f297e7784d5a0&fileName=full_text.pdf.transfer controlnormal p-complementsupersoluble groupsstrongly closed subgroup |
| spellingShingle | Anna Luisa Gilotti Luigi Serena Supersoluble conditions and transfer control International Journal of Group Theory transfer control normal p-complement supersoluble groups strongly closed subgroup |
| title | Supersoluble conditions and transfer control |
| title_full | Supersoluble conditions and transfer control |
| title_fullStr | Supersoluble conditions and transfer control |
| title_full_unstemmed | Supersoluble conditions and transfer control |
| title_short | Supersoluble conditions and transfer control |
| title_sort | supersoluble conditions and transfer control |
| topic | transfer control normal p-complement supersoluble groups strongly closed subgroup |
| url | http://www.theoryofgroups.ir/?_action=showPDF&article=2740&_ob=448422e5d677e318f74f297e7784d5a0&fileName=full_text.pdf. |
| work_keys_str_mv | AT annaluisagilotti supersolubleconditionsandtransfercontrol AT luigiserena supersolubleconditionsandtransfercontrol |