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Fixed-points of finite group actions on contractible complexes. (English) Zbl 0336.57031


MSC:

57S25 Groups acting on specific manifolds
57Q05 General topology of complexes
55M35 Finite groups of transformations in algebraic topology (including Smith theory)
57S30 Discontinuous groups of transformations
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References:

[1] 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
[2] Lowell Jones, The converse to the fixed point theorem of P. A. Smith. I, Ann. of Math. (2) 94 (1971), 52 – 68. · Zbl 0229.55006 · doi:10.2307/1970734
[3] R. Oliver, Smooth fixed-point free actions of compact Lie groups on disks, Thesis, Princeton University, Princeton, N. J., 1974.
[4] P. A. Smith, Fixed-points of periodic transformations, Amer. Math. Soc. Colloq. Publ., vol. 27, Amer. Math. Soc. Providence, R. I., 1942, pp. 350-373.
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