3 papers
math.GR2025
The large scale geometry of inverse semigroups and their maximal group images
Mark Kambites, Nóra Szakács
The geometry of inverse semigroups is a natural topic of study, motivated both from within semigroup theory and by applications to the theory of non-commutative -algebras. We…
math.GR2024
The growth of free inverse monoids
Mark Kambites, Carl-Fredrik Nyberg-Brodda, Nóra Szakács +1
We compute the rate of exponential growth of the free inverse monoid of rank (and hence an upper bound on the corresponding rate for all -generated inverse monoids and semig…
math.RA2024
Pretzel monoids
Daniel Heath, Mark Kambites, Nóra Szakács
We introduce an interesting class of left adequate monoids which we call pretzel monoids. These, on the one hand, are monoids of birooted graphs with respect to a natural `glue-and…