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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…
math.GR2025
On linguistic subsets of groups and monoids
André Carvalho, Carl-Fredrik Nyberg-Brodda
We study subsets of groups and monoids defined by language-theoretic means, generalizing the classical approach to the word problem. We expand on results by Herbst from 1991 to a m…
math.GR2025
On generalized (twisted) conjugacy separability of some extensions of groups
André Carvalho
We introduce separability properties corresponding to generalized versions of the conjugacy, twisted conjugacy, Brinkmann and Brinkmann's conjugacy problems and how they relate whe…