On the construction of periodic maps without fixed points

Authors:
P. E. Conner and E. E. Floyd

Journal:
Proc. Amer. Math. Soc. **10** (1959), 354-360

MSC:
Primary 55.00

DOI:
https://doi.org/10.1090/S0002-9939-1959-0105115-X

MathSciNet review:
0105115

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References | Similar Articles | Additional Information

**[1]**Samuel Eilenberg,*On a theorem of P. A. Smith concerning fixed points for periodic transformations*, Duke Math. J.**6**(1940), 428–437. MR**0001920****[2]**Samuel Eilenberg and Norman Steenrod,*Foundations of algebraic topology*, Princeton University Press, Princeton, New Jersey, 1952. MR**0050886****[3]**E. E. Floyd,*Fixed point sets of compact abelian Lie groups of transformations*, Ann. of Math. (2)**66**(1957), 30–35. MR**0088733**, https://doi.org/10.2307/1970115**[4]**E. E. Floyd and R. W. Richardson,*An action of a finite group on an 𝑛-cell without stationary points.*, Bull. Amer. Math. Soc.**65**(1959), 73–76. MR**0100848**, https://doi.org/10.1090/S0002-9904-1959-10282-2**[5]**P.A. Smith,*Fixed-point theorems for periodic transformations*, Amer. J. Math.**63**(1941), 1–8. MR**0003199**, https://doi.org/10.2307/2371271**[6]**J. H. C. Whitehead,*Simplicial spaces, nuclei and*-*groups*, Proc. London Math. Soc. vol. 45 (1939) pp. 243-327.

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DOI:
https://doi.org/10.1090/S0002-9939-1959-0105115-X

Article copyright:
© Copyright 1959
American Mathematical Society