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Moore G-Spaces Which are not Co-Hopf G-Spaces

Part of: Homotopy theory

Published online by Cambridge University Press:  20 November 2018

Ryszard Doman
Ryszard Doman*
Affiliation:
Institute of Mathematics A. Mickiewicz University Matejki 48/49 60-769 Poznań, Poland
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Abstract

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Let G be a finite group. By a Moore G-space we mean a G-space X such that for each subgroup H of G the fixed point space XH is a simply connected Moore space of type (MH,n), where MH is an abelian group depending on H, and n is a fixed integer. By a co-Hopf G-space we mean a G-space with a G-equivariant comultiplication. In this note it is shown that, in contrast to the non-equivariant case, there exist Moore G-spaces which are not co-Hopf G-spaces.

MSC classification

Secondary: 55P99: None of the above, but in this section 57S17: Finite transformation groups
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 3 , 01 September 1989 , pp. 365 - 368
Copyright
Copyright © Canadian Mathematical Society 1989

References

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