Algebraic entropy of elementary amenable groups

Details Algebraic entropy of elementary amenable groups Algebraic entropy of elementary amenable groups

2004-04-05

arxiv.org/abs/math/0404075v1

Mathematics

Group Theory

20 pages; to appear in Geom. Dedicata

Scientific paper

We prove that any finitely generated elementary amenable group of zero
(algebraic) entropy contains a nilpotent subgroup of finite index or,
equivalently, any finitely generated elementary amenable group of exponential
growth is of uniformly exponential growth. We also show that 0 is an
accumulation point of the set of entropies of elementary amenable groups.

Affiliated with

Also associated with

No associations

Rating

Algebraic entropy of elementary amenable groups 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 Algebraic entropy of elementary amenable groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Algebraic entropy of elementary amenable groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-666697