Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493519 | Journal of Algebra | 2005 | 26 Pages |
Abstract
We present a method for computing the number of epimorphisms from a finitely presented group G to a finite solvable group Î, which generalizes a formula of Gaschütz. 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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Daniel Matei, Alexander I. Suciu,