SA Subgroup
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in the realm of group theory, a subgroup of a group is termed a 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. SA subgroups were introduced in finite groups theory for the classification of finite simple groups. Some important results about them: Any SA subgroup is a maximal abelian subgroup, that is, it is not properly contained…mehr

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, in the realm of group theory, a subgroup of a group is termed a 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. SA subgroups were introduced in finite groups theory for the classification of finite simple groups. Some important results about them: 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.