3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian

Details 3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian 3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian

2007-09-20

arxiv.org/abs/0709.3185v1

Mathematics

Group Theory

Scientific paper

A group in which every element commutes with its endomorphic images is called
an $E$-group.
Our main result is that all 3-generator $E$-groups are abelian. It follows
that the minimal number of generators of a finitely generated non-abelian
$E$-group is four.

Affiliated with

Also associated with

No associations

Rating

3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian 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 3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and 3-Generator Groups whose Elements Commute with Their Endomorphic Images Are Abelian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-517888