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On embeddability of Coxeter groups into the Riordan group

Published 16 May 2024 in math.GR and math.CO | (2405.10470v2)

Abstract: We discuss examples of linear representations of finite groups as subgroups of the Riordan group. In particular, we show that the symmetric group of degree three has no faithful representation as a subgroup of the Riordan group over the complex numbers, but can be embedded as a subgroup of the Riordan group over a field of characteristic three.

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