Please note that the content of this book primarily consists of
articles available from Wikipedia or other free sources online. 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(Curtis & Reiner 1981, p.354). Equivalently, an SA
subgroup is a centrally closed abelian subgroup. In abstract
algebra, an abelian group, also called a commutative group, is a
group in which the result of applying the group operation to two
group elements does not depend on their order (the axiom of
commutativity). Abelian groups generalize the arithmetic of
addition of integers. They are named after Niels Henrik Abel.
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