Moore G-Spaces Which are not Co-Hopf G-Spaces
Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 365-368
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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.
Doman, Ryszard. Moore G-Spaces Which are not Co-Hopf G-Spaces. Canadian mathematical bulletin, Tome 32 (1989) no. 3, pp. 365-368. doi: 10.4153/CMB-1989-053-9
@article{10_4153_CMB_1989_053_9,
author = {Doman, Ryszard},
title = {Moore {G-Spaces} {Which} are not {Co-Hopf} {G-Spaces}},
journal = {Canadian mathematical bulletin},
pages = {365--368},
year = {1989},
volume = {32},
number = {3},
doi = {10.4153/CMB-1989-053-9},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-053-9/}
}
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