Abstract
Given a major result such as the PSG Theorem, it is usually worth while to try and deconstruct its proof: by following up various intermediate steps one may achieve deeper insights and, possibly, be led to new results. The material of Chapter 6 is a case in point, as are some of the methods described in the Linearity conditions and Strong Approximation windows. Here we consider the subgroup growth of finitely generated linear groups, and will see that for these, a stronger form of the PSG Theorem holds.
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© 2003 Birkhäuser Verlag
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Lubotzky, A., Segal, D. (2003). Linear Groups. In: Subgroup Growth. Progress in Mathematics, vol 212. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8965-0_9
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DOI: https://doi.org/10.1007/978-3-0348-8965-0_9
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9846-1
Online ISBN: 978-3-0348-8965-0
eBook Packages: Springer Book Archive