Mathematics

This talk is a survey of algebraic properties of a class of cyclically presented groups that includes Conway's Fibonacci groups, the Sieradski groups, and the Gilbert-Howie groups. I will present a range of group-theoretic and number-theoretic techniques for studying cyclically presented groups such as for proving groups infinite, obtaining abelianizations, asphericity, small cancellation conditions, connections with Labelled Oriented Graph groups, and with cyclically presented semigroups.