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Involutions in groups of finite Morley rank of degenerate type

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Abstract.

In a connected group of finite Morley rank, if the Sylow 2-subgroups are finite then they are trivial. The proof involves a combination of model-theoretic ideas with a device originating in black box group theory.

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Authors and Affiliations

  1. School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, U.K.

    Alexandre Borovik

  2. CNRS, UMR 5208 Institut Camille Jordan, Université de Lyon Université Lyon 1 , 43, blvd du 11 novembre 1918, F-69622, Villeurbanne Cedex, France

    Jeffrey Burdges

  3. Department of Mathematics, Rutgers University, 110 Frelinghuysen Rd., Piscataway, NJ, 08854, U.S.A.

    Gregory Cherlin

Authors
  1. Alexandre Borovik
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  2. Jeffrey Burdges
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  3. Gregory Cherlin
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Borovik, A., Burdges, J. & Cherlin, G. Involutions in groups of finite Morley rank of degenerate type. Sel. math., New ser. 13, 1 (2007). https://doi.org/10.1007/s00029-007-0030-z

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  • DOI: https://doi.org/10.1007/s00029-007-0030-z

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