Indicable Groups and Endomorphic Presentations

Details Indicable Groups and Endomorphic Presentations Indicable Groups and Endomorphic Presentations

2011-12-08

arxiv.org/abs/1112.1764v1

Mathematics

Group Theory

Will appear in Glasgow Mathematical Journal

Scientific paper

In this note we look at presentations of subgroups of finitely presented groups with infinite cyclic quotients. We prove that if $H$ is a finitely generated normal subgroup of a finitely presented group $G$ with $G/H$ cyclic, then $H$ has ascending finite endomorphic presentation. It follows that any finitely presented indicable group without free semigroups has the structure of a semidirect product $H \rtimes \field{Z}$ where $H$ has finite ascending endomorphic presentation.

Affiliated with

Also associated with

No associations

Rating

Indicable Groups and Endomorphic Presentations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Indicable Groups and Endomorphic Presentations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Indicable Groups and Endomorphic Presentations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-547422