Group algebras with an Engel group of units
نویسندگان
چکیده
منابع مشابه
Group Algebras Whose Group of Units Is Powerful
A p-group is called powerful if every commutator is a product of p th powers when p is odd and a product of fourth powers when p = 2. In the group algebra of a group G of p-power order over a finite field of characteristic p, the group of normalized units is always a p-group. We prove that it is never powerful except, of course, when G is abelian.
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society
سال: 2006
ISSN: 1446-7887,1446-8107
DOI: 10.1017/s1446788700013057