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We calculate completely the Real cobordism groups, introduced by Landweber and Fujii, in terms of homotopy groups of known spectra.
Let K(n)*(-) be a Morava K-theory at the prime 2. Invariant theory is used to identify K(n)*(BA4) as a summand of K(n)*(BZ/2 × BZ/2). Similarities with H*(BA4;Z/2) are also discussed.
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