Involutive automorphism of symmetric groups |
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Authors: | Hou-Yi Chen |
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Affiliation: | Department of Mathematics, Dongguan University of Technology, Dongguan, P. R. China |
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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. |
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Keywords: | Coxeter system Lusztig’s conjecture symmetric group |
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