TY - JOUR

T1 - Cohomology Ring of the Orbit Space of Certain Free _{}-actions

AU - Dotzel, Ronald M.

AU - Singh, Tej B.

PY - 1995/1/11

Y1 - 1995/1/11

N2 - T. In this paper, we consider actions of G = Zp (with p an odd prime) on spaces X which are of cohomology type (0, 0) (i.e., have the mod-p cohomology of the one-point union of an n-sphere, a 2n-sphere and a a 3n-sphere, n odd). If X is not totally non-homologous to zero in XG we determine the fixed set, give examples of all possibilities for the fixed set and compute the cohomology ring structure of the orbit space in the case where G acts freely. In [4], we considered fixed sets for related spaces, when X is totally non-homologous to zero in XG.

AB - T. In this paper, we consider actions of G = Zp (with p an odd prime) on spaces X which are of cohomology type (0, 0) (i.e., have the mod-p cohomology of the one-point union of an n-sphere, a 2n-sphere and a a 3n-sphere, n odd). If X is not totally non-homologous to zero in XG we determine the fixed set, give examples of all possibilities for the fixed set and compute the cohomology ring structure of the orbit space in the case where G acts freely. In [4], we considered fixed sets for related spaces, when X is totally non-homologous to zero in XG.

UR - http://www.jstor.org/stable/pdfplus/2161111.pdf

U2 - 10.1090/S0002-9939-1995-1285986-6

DO - 10.1090/S0002-9939-1995-1285986-6

M3 - Article

VL - 123

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

ER -