New York Journal of Mathematics
Volume 22 (2016) 865-873


Alan D. Logan

On a question of Bumagin and Wise

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Published: August 17, 2016
Keywords: Residually finite groups, outer automorphism groups, recursive presentability
Subject: 20E26, 20E36, 20F28, 20F67

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.

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University of Glasgow, School of Mathematics and Statistics, University Gardens, G12 8QW, Scotland