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

  • Tej Bahadur Singh (a1)

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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Copyright

References

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[1]Bredon, G., “Sheaf Theory”, (McGraw-Hill, N.Y. 1967).
[2]Bredon, G., “Introduction to compact transformation groups”, Academic Press, 1972.
[3]Deo, S., Singh, T. B. and Shukla, R. A., “On an extension of localization theorem and generalized Conner conjecture”, Trans. Amer. Math. Soc. 269 (1982), 395402.
[4]Deo, S. and Singh, T.B., “On the converse of some theorems about orbit spaces”, J. London Math. Soc. 25 (1982), 162170.
[5]Quillen, D., “The spectrum of an equivariant cohomology ring: I”, Ann. Of Math. 94 (1971), 549572.
[6]Toda, H., “Note on cohomology ring of certain spaces”, Pric. Amer. Math. Soc. 14 (1963), 8995.
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Non-existence of odd periodic maps on certain spaces without fixed points

  • Tej Bahadur Singh (a1)

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