Non-existence of odd periodic maps on certain spaces without fixed points

Publisher： Cambridge University Press

E-ISSN： 1755-1633|32|3|389-397

ISSN： 0004-9727

Source： Bulletin of the Australian Mathematical Society, Vol.32, Iss.3, 1985-12, pp. : 389-397

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Abstract

In this paper, we show that the fixed point set of Zp-actions, p an odd prime, on a finitistic space X of type (a, b) is non-empty, whenever b ≡ 0 (mod p). We also prove a similar result for circle group actions of finitistic spaces of (a, 0) type.

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