Subgroup Growth Book

	Preface
	Notation
0	Introduction and Overview	1
1	Basic Techniques of Subgroup Counting	11
2	Free Groups	37
3	Groups with Exponential Subgroup Growth	51
4	Pro-p Groups	73
5	Finitely Generated Groups with Polynomial Subgroup Growth	91
6	Congruence Subgroups	111
7	The Generalized Congruence Subgroup Problem	133
8	Linear Groups	153
9	Soluble Groups	161
10	Profinite Groups with Polynomial Subgroup Growth	177
11	Probabilistic Methods	201
12	Other Growth Conditions	219
13	The Growth Spectrum	243
14	Explicit Formulas and Asymptotics	269
15	Zeta Functions I: Nilpotent Groups	285
16	Zeta Functions II: p-adic Analytic Groups	309
1	Finite Group Theory	319
2	Finite Simple Groups	329
3	Permutation Groups	337
4	Profinite Groups	349
5	Pro-p Groups	357
6	Soluble Groups	367
7	Linear Groups	375
8	Linearity Conditions for Infinite Groups	379
9	Strong Approximation for Linear Groups	389
10	Primes	409
11	Probability	415
12	p-adic Integrals and Logic	419
	Open Problems	425
	Bibliography	433
	Index	446