The eta invariant and the real connective K-theory of the classifying space for quaternion groups
Abstract
We express the real connective K theory groups of the quaternion QL group of order 2j8 in terms of the representation theory of by showing ko4k-1(BQL)=KSp(S4k+3/τ QL) where tau is any fixed point free representation of QL in U(2k+2)
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