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Seminormal subgroup : ウィキペディア英語版 | Seminormal subgroup In mathematics, in the field of group theory, a subgroup of a group is termed seminormal if there is a subgroup such that , and for any proper subgroup of , is a proper subgroup of . This definition of seminormal subgroups is due to Xiang Ying Su.〔.〕〔. Foguel writes: "Su introduces the concept of seminormal subgroups and using this tool he gives four sufficient conditions for supersolvability."〕 Every normal subgroup is seminormal. For finite groups, every quasinormal subgroup is seminormal. ==References==
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Seminormal subgroup」の詳細全文を読む
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