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- W2612688004 abstract "In this paper we investigate the possibility of free actions of G = S 3 on a finitistic mod p cohomology (sphere, real projective space or lens space) X. If X is a mod 2 cohomology k-sphere, then it is observed that G can act freely on X only if k = 4n − 1. In this case, with the canonical free G-action on S 4m−1 , we prove that there exist no equivariant map from S 4n−1 to X if m > n. If X is a mod 2 cohomology real projective space or mod p cohomology lens space, p an odd prime then we prove that G can not act freely on X." @default.
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- W2612688004 date "2015-12-01" @default.
- W2612688004 modified "2023-09-24" @default.
- W2612688004 title "On the Existence of Free Action of S 3 on Certain Finitistic Mod P Cohomology Spaces" @default.
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