Every group is the outer automorphism group of an HNN-extension of a fixed triangle group

Alan Logan (University of Glasgow)

Wednesday 21st September, 2016 16:00-17:00 Maths 522

Abstract

Fix i>8. In this talk we outline our proof that every countable group Q can be realised as Out(G_Q), where G_Q is an HNN-extension of the triangle group <a, b; a^i, b^i, c^i, abc>. The proof links aspherical presentations with free malnormal subgroups.

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