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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.GR2025
Free inverse monoids are co-context-free
Tara Macalister Brough, Marianne Johnson, Mark Kambites +1
We prove (using grammars) that the free inverse monoid of every finite rank has co-context-free word problem. Equivalently, the co-word problem of the free inverse monoid of every…
math.GR2025
Subgroups of -unitary and -injective special inverse monoids
Robert D. Gray, Mark Kambites
We continue the study of the structure of general subgroups (in particular maximal subgroups, also known as group -classes) of special inverse monoids. Recent research…