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arXiv · 2310.08723

Computing centralizers in [f.g. free]-by-cyclic groups

André Carvalho
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Abstract

We prove that centralizers of elements in [f.g. free]-by-cyclic groups are computable. As a corollary we get that, given two conjugate elements in a [f.g. free]-by-cyclic group, the set of conjugators can be computed and that the conjugacy problem with context-free constraints is decidable. In the end, we pose several problems arising naturally from this work.

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André Carvalho. 2023-10-12. Computing centralizers in [f.g. free]-by-cyclic groups. https://arxiv.org/abs/2310.08723

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