paper

JSJ decompositions and polytopes for two-generator one-relator groups

arXiv:2101.02193

Abstract

We provide a direct connection between the Z_{max} (or essential) JSJ decomposition and the Friedl--Tillmann polytope of a hyperbolic two-generator one-relator group with abelianisation of rank . We deduce various structural and algorithmic properties, like the existence of a quadratic-time algorithm computing the Z_{max}-JSJ decomposition of such groups.

41 pages. Final version accepted for publication

JSJ decompositions and polytopes for two-generator one-relator groups · wovepaper