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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© 1973 Springer-Verlag Berlin Heidelberg
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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
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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
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