A Criterion For Kolchin Subgroups Of Out(Fr)
Edgar A. Bering IV
TL;DR
This paper introduces a decidable criterion to determine when subgroups of Out(F_r) generated by two Dehn twists contain only polynomially growing elements, addressing a previously open question.
Contribution
It provides a new, effective criterion for identifying polynomially growing subgroups of Out(F_r) generated by two Dehn twists.
Findings
Decidable criterion for polynomial growth in subgroups of Out(F_r)
Applicable to subgroups generated by two Dehn twists
Answers an open question in the field
Abstract
This article provides a decidable criterion for when a subgroup of Out(Fr) generated by two Dehn twists consists entirely of polynomially growing elements, answering an earlier question of the author.
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