A word property for twisted involutions in Coxeter groups
نویسندگان
چکیده
Given an involutive automorphism θ of a Coxeter system (W,S), let I(θ) ⊆W denote the set of twisted involutions. We provide a minimal set of moves that can be added to the braid moves, in order to connect all reduced S-expressions (also known as admissible sequences, reduced Iθ-expressions, or involution words) for any given w ∈ I(θ). This can be viewed as an analogue of the well-known word property for Coxeter groups. It improves upon a result of Hamaker, Marberg, and Pawlowski, and generalises similar statements valid in certain types due to Hu, Zhang, Wu, and Marberg.
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ورودعنوان ژورنال:
- Electronic Notes in Discrete Mathematics
دوره 61 شماره
صفحات -
تاریخ انتشار 2017