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A character relationship between symmetric group and hyperoctahedral group. (English) Zbl 07304867
Summary: We relate the character theory of the symmetric groups $$\mathbb{S}_{2 n}$$ and $$\mathbb{S}_{2 n + 1}$$ with that of the hyperoctahedral group $$\mathbb{B}_n=(\mathbb{Z}/2)^n\rtimes \mathbb{S}_n$$, as part of the expectation that the character theory of reductive groups with diagram automorphism and their Weyl groups, is related to the character theory of the fixed subgroup of the diagram automorphism.
##### MSC:
 20G Linear algebraic groups and related topics
GAP
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##### References:
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