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In mathematical group theory, a subgroup of a group is termed a special abelian subgroup or SA-subgroup if the centralizer of any nonidentity element in the subgroup is precisely the subgroup. Equivalently, an SA subgroup is a centrally closed abelian subgroup. * Any SA subgroup is a maximal abelian subgroup, that is, it is not properly contained in another abelian subgroup. * For a CA group, the SA subgroups are precisely the maximal abelian subgroups. SA subgroups are known for certain characters associated with them termed exceptional characters. ==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「Special abelian subgroup」の詳細全文を読む スポンサード リンク
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