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Isomorphism problem for finitely generated fully residually free groups

Inna Bumagin·Olga Kharlampovich·Alexei Miasnikov
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Abstract

We prove that the isomorphism problem for finitely generated fully residually free groups is decidable. We also show that each finitely generated fully residually free group G has a decomposition that is invariant under automorphisms of G, and obtain a structure theorem for the group of outer automorphisms Out(G).

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Inna Bumagin, Olga Kharlampovich, Alexei Miasnikov. 2005-02-23. Isomorphism problem for finitely generated fully residually free groups. https://arxiv.org/abs/math/0502496

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