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Specific formulas are given for choosing polynomial generators of      H ∗  ( B S U ; R ) {H_* }(BSU;R)      , for various      R R      , in terms of the canonical polynomial generators of      H ∗  ( B U ; R ) {H_*}(BU;R)      . The analogous formulas for polynomial generators of      H ∗  ( B S O ; Z 2 ) {H_*}(BSO;{Z_2})       are also given.

Polynomial generators for 𝐻_{∗}(𝐵𝑆𝑈) and 𝐻_{∗}(𝐵𝑆𝑂;𝑍₂)