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Volume 34, Issue 6, 1998, pp. 567–578
DOI: 10.2977/prims/1195144423

Published online: 1998-12-31

Pairings of p-Compact Groups and H-Structures on the Classifying Spaces of Finite Loop Spaces

Kenshi Ishiguro[1]

(1) Fukuoka University, Japan

We consider the maps between classifying spaces of p-compact groups of the form BX x BYBZ. The main theorem shows that if the restriction map on BY is a weak epimorphism, then the restriction on BX should factor through the classifying spaces of the center of the p-compact group Z.

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Ishiguro Kenshi: Pairings of p-Compact Groups and H-Structures on the Classifying Spaces of Finite Loop Spaces. Publ. Res. Inst. Math. Sci. 34 (1998), 567-578. doi: 10.2977/prims/1195144423