SA Subgroup
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Details
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.
Weitere Informationen
- Allgemeine Informationen
- GTIN 09786131205224
- Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
- Größe H220mm x B220mm
- EAN 9786131205224
- Format Fachbuch
- Titel SA Subgroup
- Herausgeber Betascript Publishing
- Anzahl Seiten 68
- Genre Mathematik
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