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arXiv · 2401.14020

Orbit problems for free-abelian times free groups and related families

André Carvalho·Jordi Delgado
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Abstract

We prove that the Brinkmann Problems (BrP & BrCP) and the twisted-conjugacy Problem (TCP) are decidable for any endomorphism of a free-abelian times free (FATF) group Fn x Z^m. Furthermore, we prove the decidability of the two-sided Brinkmann conjugacy problem (2BrCP) for monomorphisms of FATF groups (and combine it with TCP) to derive the decidability of the conjugacy problem for ascending HNN extensions of FATF groups.

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André Carvalho, Jordi Delgado. 2024-01-25. Orbit problems for free-abelian times free groups and related families. https://arxiv.org/abs/2401.14020

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