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Commuting involution graphs in classical affine Weyl groups

机译:Commuting involution graphs in classical affine Weyl groups

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摘要

In this paper we investigate commuting involution graphs in classical affine Weyl groups. Let W be a classical Weyl group of rank n, with its corresponding affine Weyl group. Our main result is that if X is a conjugacy class of involutions in then the commuting involution graph is either disconnected or has diameter at most n + 2. This bound is known to hold for types and so the main work of this paper is to prove the theorem for types and

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