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J. Korean Math. Soc. 2004; 41(6): 1101-1114

Printed November 1, 2004

Copyright © The Korean Mathematical Society.

Homotopy fixed point sets and actions on homogeneous spaces of $p$--compact groups

Kenshi Ishiguro and Hyang-Sook Lee

Fukuoka University, Ewha Womans University

Abstract

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We generalize a result of Dror Farjoun and Zabrodsky on the relationship between fixed point sets and homotopy fixed point sets, which is related to the generalized Sullivan Conjecture. As an application, we discuss extension problems considering actions on homogeneous spaces of $p$--compact groups.

Keywords: p-compact groups, homotopy fixed point sets, fixed point sets, actions on homogeneous spaces

MSC numbers: 55R35, 55P35, 55P91

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