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Semifree actions of free groups

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Abstract

We study countable universes similar to a free action of a group G. It turns out that this is equivalent to the study of free semi-actions of G, with two universes being transformable iff one corresponding free semi-action can be obtained from the other by a finite alteration. In the case of a free group G (in finitely many or countably many generators), a classification is given.

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References

  1. Greenleaf F.P. (1969). Invariant Means on Topological Groups. Van Nostrand, New York

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  2. Poizat, B.: À la recherche de la structure intrinsèque de l’univers. Teoriia modelei v Kazaxstane, Sbornik naucnyx rabotposviatennyx pamiati A.D. Taimanova, Eco Study, Almaty, pp. 339–388 (2006)

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Author notes

  1. Martin Hils

    Present address: Institut für Mathematik, Humboldt-Universität zu Berlin, 10099, Berlin, Germany

Authors and Affiliations

  1. Institut Camille Jordan (Lyon 1), Université Claude Bernard, 21, avenue Claude Bernard, 69622, Villeurbanne-Cedex, France

    Martin Hils

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  1. Martin Hils
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Corresponding author

Correspondence to Martin Hils.

Additional information

Research partially supported by a DAAD Doktorandenstipendium D/02/02345.

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Hils, M. Semifree actions of free groups. Arch. Math. Logic 46, 93–105 (2007). https://doi.org/10.1007/s00153-006-0029-8

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  • DOI: https://doi.org/10.1007/s00153-006-0029-8

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