Subgroup growth /

Subgroup growth /

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Bibliographic Details
Author / Creator:	Lubotzky, Alexander, 1956-
Imprint:	Basel ; Boston : Birkhäuser, c2003.
Description:	xxii, 453 p. : ill. ; 24 cm.
Language:	English
Series:	Progress in mathematics ; v. 212 Progress in mathematics (Boston, Mass.) ; v. 212.
Subject:	Subgroup growth (Mathematics) Infinite groups. Infinite groups. Subgroup growth (Mathematics)
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/5014791

Hidden Bibliographic Details
Other authors / contributors:	Segal, Daniel, 1947-
ISBN:	0817669892 (alk. paper) 3764369892 (alk. paper)
Notes:	Includes bibliographical references (p. [433]-445) and index.

Table of Contents:

0. Introduction and Overview
1. Basic Techniques of Subgroup Counting
2. Free Groups
3. Groups with Exponential Subgroup Growth
4. Pro-p Groups
5. Finitely Generated Groups with Polynomial Subgroup Growth
6. Congruence Subgroups
7. The Generalized Congruence Subgroup Problem
8. Linear Groups
9. Soluble Groups
10. Profinite Groups with Polynomial Subgroup Growth
11. Probabilistic Methods
12. Other Growth Conditions
13. The Growth Spectrum
14. Explicit Formulas and Asymptotics
15. Zeta Functions I: Nilpotent Groups
16. Zeta Functions II: p-adic Analytic Groups
1. Finite Group Theory
2. Finite Simple Groups
3. Permutation Groups
4. Profinite Groups
5. Pro-p Groups
6. Soluble Groups
7. Linear Groups
8. Linearity Conditions for Infinite Groups
9. Strong Approximation for Linear Groups
10. Primes
11. Probability
12. p-adic Integrals and Logic
Open Problems.