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Fixed-point sets of group actions on finite acyclic complexes

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Commentarii Mathematici Helvetici

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References

  1. Bredon,Introduction to compact transformation groups, (Acad. Press, 1972).

  2. Curtis andReiner,Representation theory of finite groups and associative algebras, (Interscience, 1962).

  3. Floyd andRichardson,An action of a finite group on an n-cell without stationary points, Bull. Amer. Math. Soc.65 (1959), 73–76.

    Article  MathSciNet  MATH  Google Scholar 

  4. Greever,Stationary points for finite transformation groups, Duke Math. Journal27 (1960), 163–170.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hall,A note on solvable groups, J. London Math. Soc.3 (1928), 98–105.

    Google Scholar 

  6. Hsiang andHsiang,On the compact subgroups of the diffeomorphism groups of Kervaire spheres, Ann. of Math.85 (1967), 359–369.

    Article  MathSciNet  Google Scholar 

  7. Illman,Equivariant algebraic topology, Thesis, Princeton University (1972).

  8. Jones,The converse to the fixed point theorem of P. A. Smith: I, Ann. of Math.94 (1971), 52–68.

    Article  MathSciNet  Google Scholar 

  9. Oliver,Smooth fixed point free actions of compact Lie groups on disks, Thesis, Princeton University (1974).

  10. Rim,Modules over finite groups, Ann. of Math.69 (1959), 700–712.

    Article  MathSciNet  Google Scholar 

  11. Serre,Représentations linéaires des groupes finis, (Hermann, 1967).

  12. Smith,Fixed-points of periodic transformations, Amer. Math. Soc. Coll. Pub. XXVII (1942), 350–373.

    Google Scholar 

  13. Whitehead,Simplicial spaces, nuclei, and m-groups, Proc. London Math. Soc.45 (1938–1939), 243–327.

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Matematisk Institut Universitetsparken, Ny Munkegade, 8000, Aarhus, C, Danmark

    Robert Oliver

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  1. Robert Oliver
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Additional information

This work was done while the author was supported by an NSF graduate fellowship.

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Oliver, R. Fixed-point sets of group actions on finite acyclic complexes. Commentarii Mathematici Helvetici 50, 155–177 (1975). https://doi.org/10.1007/BF02565743

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  • DOI: https://doi.org/10.1007/BF02565743

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