Coherence of group pairs
Marco Linton (ICMAT (Madrid))
Monday 10th November 15:00-16:00
Maths 311B
Abstract
(joint work with Andrei Jaikin-Zapirain and Pablo Sánchez-Peralta) A group is coherent if all its finitely generated subgroups are finitely presented. In 2023, Jaikin-Zapirain and I confirmed that one-relator groups are coherent by developing a criterion for (homological) coherence of groups of cohomological dimension two. In this talk I will explain how to generalise this criterion to group pairs of cohomological dimension two and show how it can be used to prove that one-relator products of coherent locally indicable groups (of arbitrary dimension) are coherent.
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