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Involutive automorphism of symmetric groups
Authors:Hou-Yi Chen
Institution:Department of Mathematics, Dongguan University of Technology, Dongguan, P. R. China
Abstract:Let (𝔖n,S) be a Coxeter system of the symmetric group, we show that the set of automorphisms of 𝔖n which are involutions and leave S stable is a finite group of order less than 3.
Keywords:Coxeter system  Lusztig’s conjecture  symmetric group
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