(Q5958362)

English

hyperoctahedral group

orthogonal group with integer coefficients; the Weyl group of the B- or C-series

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\operatorname {O} (n;\mathbb {Z} )\cong \operatorname {Sym} (2)\wr \operatorname {Sym} (n)\cong \{\sigma \in \operatorname {Sym} (\{-n,1-n,\dotsc ,n\})\colon \forall i\colon \sigma (i)=-\sigma (-i)\}

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Hyperoctahedral groups

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