Subgroup Growth

Copertina anteriore
Springer Science & Business Media, 1 apr 2003 - 454 pagine

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2001.

Subgroup growth studies the distribution of subgroups of finite index in a group as a function of the index. In the last two decades this topic has developed into one of the most active areas of research in infinite group theory; this book is a systematic and comprehensive account of the substantial theory which has emerged.
As well as determining the range of possible 'growth types', for finitely generated groups in general and for groups in particular classes such as linear groups, a main focus of the book is on the tight connection between the subgroup growth of a group and its algebraic structure.
A wide range of mathematical disciplines play a significant role in this work: as well as various aspects of infinite group theory, these include finite simple groups and permutation groups, profinite groups, arithmetic groups and Strong Approximation, algebraic and analytic number theory, probability, and p-adic model theory. Relevant aspects of such topics are explained in self-contained 'windows'.

 

Cosa dicono le persone - Scrivi una recensione

Nessuna recensione trovata nei soliti posti.

Sommario

III
1
IV
2
V
3
VI
8
VII
9
IX
11
X
12
XI
13
LXXXVIII
226
LXXXIX
229
XC
230
XCI
233
XCII
234
XCIII
236
XCIV
237
XCV
241

XII
14
XIII
20
XIV
22
XV
24
XVI
26
XVII
28
XVIII
29
XIX
31
XX
34
XXI
36
XXII
37
XXIII
39
XXIV
42
XXV
43
XXVI
50
XXVII
51
XXVIII
55
XXIX
58
XXX
61
XXXI
63
XXXII
69
XXXIII
72
XXXIV
73
XXXV
74
XXXVI
77
XXXVII
80
XXXVIII
83
XXXIX
86
XLI
90
XLII
91
XLIII
94
XLIV
96
XLV
98
XLVI
101
XLVII
102
XLVIII
104
XLIX
108
L
111
LI
115
LII
121
LIII
125
LIV
128
LV
132
LVI
133
LVII
136
LVIII
141
LIX
149
LX
151
LXI
153
LXII
156
LXIV
158
LXV
160
LXVI
161
LXVII
162
LXVIII
164
LXIX
167
LXX
172
LXXI
175
LXXII
177
LXXIII
180
LXXIV
181
LXXV
187
LXXVI
194
LXXVII
197
LXXVIII
200
LXXIX
201
LXXX
205
LXXXI
207
LXXXII
209
LXXXIII
211
LXXXIV
214
LXXXV
217
LXXXVI
219
LXXXVII
225
XCVI
243
XCVII
244
XCVIII
248
XCIX
255
C
260
CI
266
CII
269
CIII
271
CIV
274
CV
277
CVI
283
CVII
285
CVIII
290
CIX
297
CX
304
CXI
307
CXII
309
CXIII
312
CXIV
313
CXV
315
CXVI
318
CXVII
319
CXVIII
320
CXX
322
CXXII
323
CXXIV
324
CXXV
325
CXXVI
329
CXXVII
330
CXXVIII
331
CXXIX
332
CXXXI
334
CXXXII
335
CXXXIV
337
CXXXV
338
CXXXVI
343
CXXXVII
349
CXXXVIII
350
CXXXIX
352
CXL
353
CXLI
357
CXLII
359
CXLIII
361
CXLIV
363
CXLV
364
CXLVI
367
CXLVII
369
CXLVIII
372
CXLIX
375
CL
376
CLIII
377
CLIV
379
CLV
383
CLVI
385
CLVII
389
CLVIII
390
CLIX
397
CLX
400
CLXI
406
CLXII
409
CLXIII
411
CLXIV
413
CLXV
415
CLXVI
419
CLXVII
421
CLXVIII
425
CLXXI
428
CLXXIII
429
CLXXVI
430
CLXXVIII
431
CLXXIX
433
CLXXX
446
Copyright

Altre edizioni - Visualizza tutto

Parole e frasi comuni

Informazioni bibliografiche