Inverse semigroups acting on graphs

James Renshaw
Faculty of Mathematical Studies
University of Southampton
Southampton
SO17 1BJ, U.K.
e-mail: J.H.Renshaw@maths.soton.ac.uk

Abstract:

Bass-Serre theory has proved an invaluable tool for combinatorial group theorists in providing information on the structure of groups by studying the action of a group on a graph or tree. Recently, similar techniques have started to be developed in the theory of inverse semigroups and the author will discuss some of these with particular emphasis on the structure of inverse semigroup amalgams and HNN extensions.