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.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1973 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Wehrfritz, B.A.F. (1973). Soluble Linear Groups. In: Infinite Linear Groups. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87081-1_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-87081-1_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87083-5
Online ISBN: 978-3-642-87081-1
eBook Packages: Springer Book Archive