Phase transitions in infinitely generated groups, and related problems in additive number theory

Details Phase transitions in infinitely generated groups, and related problems in additive number theory Phase transitions in infinitely generated groups, and related problems in additive number theory

2008-11-24

arxiv.org/abs/0811.3990v1

Integers 11A (2011), Article 17, 1--14

Mathematics

Group Theory

11 pages

Scientific paper

Let A be an infinite set of generators for a group G, and let L_A(r) denote the number of elements of G whose word length with respect to A is exactly r. The purpose of this note is to determine all growth functions L_A(r) associated to infinite generating sets for groups, and to describe a phase transition phenomenon associated with infinite generating sets. A list of open problems is also.included.

Affiliated with

Also associated with

No associations

Rating

Phase transitions in infinitely generated groups, and related problems in additive number theory 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 Phase transitions in infinitely generated groups, and related problems in additive number theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Phase transitions in infinitely generated groups, and related problems in additive number theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-303738