Mark Kambites

Subgroups of Special Inverse Monoids

Special inverse monoids are inverse monoids definable by presentations in which all relations have the form w=1). Their study is motivated both intrinsically by a beautiful geometric theory building on ideas of Stephen, and extrinsically by connections to the word problem for one-relator monoids. I will report on ongoing joint work with Robert D. Gray, aimed at understanding the subgroup structure of these monoids.