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math.GR2026
Green languages and growth of free inverse monoids
Corentin Bodart, André Carvalho, Ana-Catarina C. Monteiro +1
Motivated by recent work on conjugacy languages in groups, we introduce a general framework for studying \emph{languages of representatives} associated to equivalence relations on…
math.GR2026
Conjugacy languages in free inverse monoids
André Carvalho, Ana-Catarina C. Monteiro
We initiate the study of conjugacy languages in free inverse monoids. Motivated by the notion of conjugacy languages in groups and the study of conjugacy in semigroups, we introduc…
math.GR2025
Conjugacy languages and conjugacy growth relative to subsets of groups
André Carvalho, Ana-Catarina C. Monteiro
In this paper, we explore conjugacy languages when the base problem is the generalized conjugacy problem (with constraints): given and , does have a conjug…