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math.GR2023★ 2 cited
Conjugacy Class Growth in Virtually Abelian Groups
Aram Dermenjian, Alex Evetts
We study the conjugacy class growth function in finitely generated virtually abelian groups. That is, the number of elements in the ball of radius in the Cayley graph which int…
math.GR2023★ 2 cited
Effective equation solving, constraints and growth in virtually abelian groups
Laura Ciobanu, Alex Evetts, Alex Levine
In this paper we study the satisfiability and solutions of group equations when combinatorial, algebraic and language-theoretic constraints are imposed on the solutions. We show th…