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On the construction of periodic maps without fixed points. (English) Zbl 0092.39701


Keywords:

topology
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[1] Samuel Eilenberg, On a theorem of P. A. Smith concerning fixed points for periodic transformations, Duke Math. J. 6 (1940), 428 – 437. · Zbl 0023.38105
[2] Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey, 1952. · Zbl 0047.41402
[3] E. E. Floyd, Fixed point sets of compact abelian Lie groups of transformations, Ann. of Math. (2) 66 (1957), 30 – 35. · Zbl 0080.38303 · doi:10.2307/1970115
[4] E. E. Floyd and R. W. Richardson, An action of a finite group on an \?-cell without stationary points., Bull. Amer. Math. Soc. 65 (1959), 73 – 76. · Zbl 0088.15302
[5] P.A. Smith, Fixed-point theorems for periodic transformations, Amer. J. Math. 63 (1941), 1 – 8. · Zbl 0024.19004 · doi:10.2307/2371271
[6] J. H. C. Whitehead, Simplicial spaces, nuclei and \( m\)-groups, Proc. London Math. Soc. vol. 45 (1939) pp. 243-327. · Zbl 0022.40702
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