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Explicit formulas are given for polynomial generators of      H ∗  B S U {H_ * }BSU       as specific polynomials in the canonical polynomial generators of      H ∗  B U {H_ * }BU      . The method is also applied to      H ∗  ( B S U ; R ) {H_ * }(BSU;R)       for any coefficient ring      R R       and to      H ∗  ( B S O ; Z 2 ) {H_ * }(BSO;{Z_2})      .

Integral polynomial generators for the homology of 𝐵𝑆𝑈