Commutators and abelian groups
نویسندگان
چکیده
منابع مشابه
On Commutators in Groups
Commutators originated over 100 years ago as a by-product of computing group characters of nonabelian groups. They are now an established and immensely useful tool in all of group theory. Commutators became objects of interest in their own right soon after their introduction. In particular, the phenomenon that the set of commutators does not necessarily form a subgroup has been well documented ...
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An abelian self-commutator in a C*-algebra A is an element of the form A = XX−XX, with X ∈ A, such that XX and XX commute. It is shown that, given a finite AW*-factor A, there exists another finite AW*-factor M of same type as A, that contains A as an AW*-subfactor, such that any self-adjoint element X ∈ M of quasitrace zero is an abelian self-commutator in M. Introduction According to the Murr...
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 1977
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700020073