Algebra and Combinatorics seminar A double-header of student talks

Matt McDevitt: Consecutive Patterns in permutations
This paper will consider permutations ordered by the consecutive pattern involvement ordering, and describe a recent result on infinite anti-chains.

Nayab Khalid: A presentation for some other rearrangement groups
In previous talks, Nayab has defined rearrangement groups of fractals (Belk, Forrest 2016), constructed Thompson’s group F as a rearrangement group, and subsequently developed an infinite presentation for it which stems directly from the geometric structure of the topological space. In this slightly ambitious talk, he will present the final bit of research of his PhD: a framework for similar infinite presentations for other rearrangement groups, wider permutations ordered by the consecutive pattern involvement ordering, and a recent result on infinite anti-chains.

Lecture Theatre D, Mathematical Institute

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