Introduces the inverse monoid of partial inner automorphisms for any semigroup and describes it explicitly for completely simple semigroups, full transformation monoids, and endomorphism monoids of finite abelian G-sets.
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2 Pith papers cite this work. Polarity classification is still indexing.
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Classifies cf n conjugacy classes completely in T_n, I_n and related monoids and derives precise asymptotic estimates for conjugacy growth in polycyclic monoids.
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The Inverse Monoid of Partial Inner Automorphisms of a Semigroup
Introduces the inverse monoid of partial inner automorphisms for any semigroup and describes it explicitly for completely simple semigroups, full transformation monoids, and endomorphism monoids of finite abelian G-sets.
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Conjugacy in Abstract Semigroups, Transformation and Diagram Monoids, and Conjugacy Growth
Classifies cf n conjugacy classes completely in T_n, I_n and related monoids and derives precise asymptotic estimates for conjugacy growth in polycyclic monoids.