The Laws of Finite Groups

  • Hanna Neumann
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 37)


We start with some simple remarks on the finite groups of a locally finite variety, that will serve as a reminder of facts and notations introduced early on. As every variety is generated by its finitely generated groups, a locally finite variety is generated by its finite groups. By 15.73, a finite group of such a variety is a factor of a finite direct product of finite groups taken from some generating set of the variety.


Normal Subgroup Finite Group Maximal Subgroup Sylow Subgroup Critical Group 
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Copyright information

© Springer-Verlag, Berlin · Heidelberg 1967

Authors and Affiliations

  • Hanna Neumann
    • 1
  1. 1.The School of General Studies Department of Pure MathematicsThe Australian National UniversityCanberraAustralia

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