Systolic invariants of groups and 2-complexes via Grushko decomposition

Details Systolic invariants of groups and 2-complexes via Grushko decomposition Systolic invariants of groups and 2-complexes via Grushko decomposition

2006-09-14

arxiv.org/abs/math/0609379v1

Mathematics

Differential Geometry

LATEX, 22 pages

Scientific paper

We prove a finiteness result for the systolic area of groups, answering a question of M. Gromov. Namely, we show that there are only finitely many possible unfree factors of fundamental groups of~2-complexes whose systolic area is uniformly bounded. Furthermore, we prove a uniform systolic inequality for all 2-complexes with unfree fundamental group that improves the previously known bounds in this dimension.

Affiliated with

Also associated with

No associations

Rating

Systolic invariants of groups and 2-complexes via Grushko decomposition 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 Systolic invariants of groups and 2-complexes via Grushko decomposition, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Systolic invariants of groups and 2-complexes via Grushko decomposition will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-537833