Abstract
In this chapter we consider the subgroup growth of pro-p groups that are in some sense smaller than the free ones. We begin in Section 1 with one of the fundamental results on subgroup growth, Theorem 4.1 The finitely generated pro-p groups with polynomial subgroup growth are precisely the pro-p groups of finite rank.
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
© 2003 Birkhäuser Verlag
About this chapter
Cite this chapter
Lubotzky, A., Segal, D. (2003). Pro-p Groups. In: Subgroup Growth. Progress in Mathematics, vol 212. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-8965-0_5
Download citation
DOI: https://doi.org/10.1007/978-3-0348-8965-0_5
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9846-1
Online ISBN: 978-3-0348-8965-0
eBook Packages: Springer Book Archive