On a question of Bumagin and Wise
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چکیده
Motivated by a question of Bumagin and Wise, we construct a continuum of finitely generated, residually finite groups whose outer automorphism groups are pairwise nonisomorphic finitely generated, non-recursively-presentable groups. These are the first examples of such residually finite groups.
منابع مشابه
On the Outer Automorphism Groups of Finitely Generated, Residually Finite Groups
Bumagin–Wise posed the question of whether every countable group can be realised as the outer automorphism group of a finitely generated, residually finite group. We give a partial answer to this problem for recursively presentable groups.
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تاریخ انتشار 2016