Counting homomorphisms onto finite solvable groups

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We present a method for computing the number of epimorphisms from a finitely-presented group G to a finite solvable group Γ, which generalizes a formula of Gäschutz. Key to this approach are the degree 1 and 2 cohomology groups of G, with certain twisted coefficients. As an application, we count low-index subgroups of G. We also investigate the finite solvable quotients of the Baumslag-Solitar groups, the Baumslag parafree groups, and the Artin braid groups.
30 pages; accepted for publication in the Journal of Algebra

Keywords

Group Theory, Geometric Topology, 20J05, 20F16; 20E07, 20F36, 57M05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/71089

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405122
 http://arxiv.org/abs/math/0405122
 Journal of Algebra 286 (2005), 161-186
 doi:10.1016/j.jalgebra.2005.01.009

Collections

arXiv