English

Counting cycles in labeled graphs: The nonpositive immersion property for one-relator groups

Group Theory 2015-08-26 v2

Abstract

We prove a rank 1 version of the Hanna Neumann Theorem. This shows that every one-relator 2-complex without torsion has the nonpositive immersion property. The proof generalizes to staggered and reducible 2-complexes.

Keywords

Cite

@article{arxiv.1410.2579,
  title  = {Counting cycles in labeled graphs: The nonpositive immersion property for one-relator groups},
  author = {Joseph Helfer and Daniel T. Wise},
  journal= {arXiv preprint arXiv:1410.2579},
  year   = {2015}
}

Comments

12 pages, 2 figures