Group algebras whose group of units is powerful

Details Group algebras whose group of units is powerful Group algebras whose group of units is powerful

2009-06-04

arxiv.org/abs/0906.0870v1

Mathematics

Rings and Algebras

4 pages

Scientific paper

A p-group is called powerful if every commutator is a product of pth 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.

Affiliated with

Also associated with

No associations

Rating

Group algebras whose group of units is powerful does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Group algebras whose group of units is powerful, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Group algebras whose group of units is powerful will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-494513