Counting homomorphisms onto finite solvable groups

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dc.creatorMatei, Daniel
dc.creatorSuciu, Alexander I.
dc.date2004-05-07
dc.date2005-01-23
dc.date.accessioned2026-07-07T05:08:00Z
dc.date.available2026-07-07T05:08:00Z
dc.descriptionWe 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.
dc.description30 pages; accepted for publication in the Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0405122
dc.identifierhttp://arxiv.org/abs/math/0405122
dc.identifierJournal of Algebra 286 (2005), 161-186
dc.identifierdoi:10.1016/j.jalgebra.2005.01.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71089
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subject20J05, 20F16; 20E07, 20F36, 57M05
dc.titleCounting homomorphisms onto finite solvable groups
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