Soluble Linear Groups

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

Abstract

Direct computation shows that the triangular group Tr(n, F) is soluble of derived length at most (1- [-log2 n]) (see Exercise 1.3). By 2.3 every extension of a subgroup of Tr(n, F) by a finite soluble group is soluble and linear. The principal object of this chapter is to prove that every soluble linear group essentially has this form.

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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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