Systolic invariants of groups and 2-complexes via Grushko decomposition

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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.
LATEX, 22 pages

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Differential Geometry, Geometric Topology, 53C23

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http://salesiana.dossiersoluciones.com/handle/123456789/116507

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0609379
 http://arxiv.org/abs/math/0609379

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arXiv