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Growth of Conjugacy Classes of Reciprocal Words in Triangle Groups

Marmolejo, Blanca TThe Graduate School and University Center of The City University of New York2020

… obtain the growth rates for conjugacy classes of reciprocal words for triangle groups of the form G = Z2 ∗ H where H is finitely generated and does not contain an order 2 element. We explore cases where H is infinite cyclic and finite cyclic. The quotient O = H/G is an orbifold and contains a cone …

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