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The complex $$K$$-groups of the projective orthogonal groups of degree $$4\ell +2$$. (English) Zbl 0905.55004
The author computes $$K^*(PO (4\ell+2))$$ for $$\ell\geq 2$$, the $$K$$-groups of the projective orthogonal groups $$PO (4\ell +2)$$. He gives explicit ring generators, thus improving the result of Hodgkin for these groups. His method is different from that of Hodgkin.
Reviewer: C.S.Hoo (Edmonton)
##### MSC:
 55N15 Topological $$K$$-theory 19L64 Geometric applications of topological $$K$$-theory 55R50 Stable classes of vector space bundles in algebraic topology and relations to $$K$$-theory 19L99 Topological $$K$$-theory
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