Systolic invariants of groups and 2-complexes via Grushko decomposition
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
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.
Keywords
Cite
@article{arxiv.math/0609379,
title = {Systolic invariants of groups and 2-complexes via Grushko decomposition},
author = {Yuli B. Rudyak and Stéphane Sabourau},
journal= {arXiv preprint arXiv:math/0609379},
year = {2007}
}
Comments
LATEX, 22 pages