Archiv der Mathematik

, Volume 79, Issue 1, pp 5–18 | Cite as

Uniform and natural existence proofs for Janko‚s sporadic groups J2 and J3

  • M. Kratzer


In this article both sporadic Janko-groups J2 and J3 are constructed from their common involution centralizer \( H \cong 2^{1+4} \) : A5 within one single run of Michler‚s deterministic algorithm described in [11]. At the beginning we choose the — in some sense — most natural point to start from, and in the end we realize that Michler‚s algorithm does not necessary lead us to a simple group but sometimes to a covering group of a simple group.


Simple Group Deterministic Algorithm Existence Proof Natural Point Sporadic Group 


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Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  • M. Kratzer
    • 1
  1. 1.Institut für Experimentelle Mathematik, Universität GH Essen, Ellernstraße 29, D-45326 Essen, Germany Germany

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