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

Published online by Cambridge University Press:  17 April 2009

Tej Bahadur Singh
Tej Bahadur Singh
Affiliation:
Department of Mathematics and Statistics, University of Allahabad, Allahabad 211002, India.
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 32 , Issue 3 , December 1985 , pp. 389 - 397
Copyright
Copyright © Australian Mathematical Society 1985

References

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