Periodic Linear Groups

  • Bertram A. F. Wehrfritz
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE2, volume 76)

Abstract

In this chapter we study the periodic (that is, torsion) subgroups of GL(n, F). For most of the chapter we are interested in the conjugacy of the maximal π-subgroups in various situations. For example we prove extensions of the Sylow and Schur-Zassenhaus Theorems to the class of periodic linear groups. Then we study serial subgroups of periodic linear groups and (briefly) simple periodic linear groups. The chapter closes with a proof of the finiteness of rational and p-adic periodic linear groups.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1973

Authors and Affiliations

  • Bertram A. F. Wehrfritz
    • 1
  1. 1.Queen Mary CollegeLondon UniversityLondonEngland

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