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The Residually Weakly Primitive Geometries of the Janko Group J 1

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Groups and Geometries

Part of the book series: Trends in Mathematics ((TM))

Abstract

We classify all firm, residually connected coset geometries, on which the group J 1 acts as a flag-transitive automorphism group fulfilling the primitiv-ity condition RWPRI: For each flag F, its stabilizer acts primitively on the elements of some type in the residue ΓF- We demand also that every residue of rank two satisfies the intersection property.

We gratefully acknowledge financial support from the “Fonds National de la Recherche Scientifique de Belgique”.

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Author information

Authors and Affiliations

  1. FB Mathematik und Informatik, Institut für Algebra und Geometrie, Universität Halle-Wittenberg, D-06099, Halle, Germany

    Harald Gottschalk

  2. Département de Mathématique, Service de Géométrie, C.P.216, Université Libre de Bruxelles, B-1050, Bruxelles, Belgium

    Dimitri Leemans

Authors
  1. Harald Gottschalk
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  2. Dimitri Leemans
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Siena, Via del Capitano 15, 53100, Siena, Italy

    Antonio Pasini

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© 1998 Springer Basel AG

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Gottschalk, H., Leemans, D. (1998). The Residually Weakly Primitive Geometries of the Janko Group J 1 . In: di Martino, L., Kantor, W.M., Lunardon, G., Pasini, A., Tamburini, M.C. (eds) Groups and Geometries. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8819-6_6

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  • DOI: https://doi.org/10.1007/978-3-0348-8819-6_6

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9785-3

  • Online ISBN: 978-3-0348-8819-6

  • eBook Packages: Springer Book Archive

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