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arXiv 1999-05-25 0 views

A note on the localization of J-groups

Obiedat, Mohammad

Original · EN

Let JO(X)=KO(X)/TO(X) be the J-group of a connected finite CW complex X. We Obtain two computable formulas of TO(X)₍ₚ₎, the localization of TO(X) at a prime p. Then we show how to use these two formulas of TO(X)₍ₚ₎ to find the J-orders of elements of KO(CPᵐ), at least the 2 and 3 primary factors of the canonical generators of JO(CPᵐ). Here CPᵐ is the complex projective space.

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