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math.GR2026
The Inverse Monoid of Partial Inner Automorphisms of a Semigroup
João Araújo, Wolfram Bentz, Michael Kinyon +2
We introduce the inverse monoid of inner partial automorphisms of a semigroup -- a tool that associates to every semigroup an inverse semigroup. When the semigroup is a group, this…
math.GR2021
Formal conjugacy growth in graph products I
Laura Ciobanu, Susan Hermiller, Valentin Mercier
In this paper we give a recursive formula for the conjugacy growth series of a graph product in terms of the conjugacy growth and standard growth series of subgraph products. We al…