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An action of a finite group on an \(n\)-cell without stationary points. (English) Zbl 0088.15302


Keywords:

topology
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[1] Samuel Eilenberg, On the problems of topology, Ann. of Math. (2) 50 (1949), 247 – 260. · Zbl 0034.25304
[2] Samuel Eilenberg and Norman Steenrod, Foundations of algebraic topology, Princeton University Press, Princeton, New Jersey, 1952. · Zbl 0047.41402
[3] J. J. Greever, Fixed points of finite transformation groups, Dissertation, University of Virginia. · Zbl 0113.16505
[4] P.A. Smith, Fixed-point theorems for periodic transformations, Amer. J. Math. 63 (1941), 1 – 8. · Zbl 0024.19004
[5] P. A. Smith, Stationary points of transformation groups, Proc. Nat. Acad. Sci. U. S. A. 28 (1942), 293 – 297. · Zbl 0061.04409
[6] J. H. C. Whitehead, On \?\textonesuperior -complexes, Ann. of Math. (2) 41 (1940), 809 – 824. · Zbl 0025.09203
[7] J. H. C. Whitehead, Simplicial spaces, nuclei, and m-groups, Proc. London Math. Soc. vol 45 (1939) pp. 243-327. · Zbl 0022.40702
[8] Hassler Whitney, Geometric integration theory, Princeton University Press, Princeton, N. J., 1957. · Zbl 0083.28204
[9] Hans Zassenhaus, The Theory of Groups, Chelsea Publishing Company, New York, N. Y., 1949. Translated from the German by Saul Kravetz. · Zbl 0041.00704
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