Details of talk
|Title||The mod-$m$ diagram monoids.|
|Presenter||Nick Ham (University of Tasmania)|
|Author(s)||Mr Nick Ham|
Given a positive integer $m$, the (planar) mod-$m$ diagram monoid consists of diagrams from the (planar) partition monoids such that the number of upper and lower vertices contained in each block are congruent modulo $m$. A presentation by way of generators and relations has previously been established for the mod-m monoid. This talk will outline how the author identified and established generators for the planar mod-$m$ diagram monoid, along with relations that appear to form a presentation of the planar mod-$2$ diagram monoid, while also describing some of the other results contained in the author's thesis.