nLab semi-free action



Group Theory

Representation theory



An action of a group is called semi-free if it is a free action after restriction to the complement of the fixed points. In other words, it is semi-free if all its stabilizer groups are either the full group itself or the trivial group.


  • Robert Stong, Semi-free group actions, Illinois Journal of Mathematics, Volume 23, Number 4, 1979 (pdf)

  • Mikiya Masuda, Taras Panov, Semifree circle actions, Bott towers, and quasitoric manifolds, Sbornik Math. 199 (2008), no.7-8, 1201-1223 (arXiv:math/0607094)

  • Ronald Dotzel, Semifree finite group actions on homotopy spheres, Pacific Journal of Mathematics, Vol 103, No. 1, 1982

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