Presentations for the monoid of block permutations

Speaker: Des FitzGerald, University of Tasmania

Abstract: The monoid of the title consists of all bijections between quotient sets of an n-set, and so realises the categorical dual of the symmetric inverse monoid. This work, joint with David Easdown and James East, states and proves correct some presentations for this monoid. The method uses a kind of factorisation structure of the monoid and known presentations for some of its submonoids.