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The Laws of Finite Groups

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

Abstract

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.

Keywords

Normal Subgroup Finite Group Maximal Subgroup Sylow Subgroup Critical Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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