26 citations · 59 across the 30 of their papers we have counts for
4 papers · 1 filter
Higher dimensional generalizations of the Thompson groups via higher rank graphs
Mark V Lawson, Aidan Sims, Alina Vdovina
We construct a family of groups from suitable higher rank graphs which are analogues of the finite symmetric groups. We introduce homological invariants showing that many of our gr…
The polycyclic inverse monoids and the Thompson groups revisited
Mark V Lawson
We revisit our construction of the Thompson groups from the polycyclic inverse monoids in the light of new research. Specifically, we prove that the Thompson group is the…
Primer on inverse semigroups I
Mark V Lawson
This is an overview of the basics of inverse semigroup theory written for the Workshop on Semigroups and Categories held at the University of Ottawa in 2010.
Universal groups for point-sets and tilings
Johannes Kellendonk, Mark V Lawson
We study the universal groups of inverse semigroups associated with point sets and with tilings. We focus our attention on two classes of examples. The first class consists of poin…