Topological Methods in Group Theory

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Springer Science & Business Media, Dec 17, 2007 - Mathematics - 473 pages
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This book is about the interplay between algebraic topology and the theory of infinite discrete groups. It is a hugely important contribution to the field of topological and geometric group theory, and is bound to become a standard reference in the field. To keep the length reasonable and the focus clear, the author assumes the reader knows or can easily learn the necessary algebra, but wants to see the topology done in detail. The central subject of the book is the theory of ends. Here the author adopts a new algebraic approach which is geometric in spirit.

 

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Contents

II
3
V
10
VI
23
VII
28
VIII
31
IX
35
XII
37
XIII
40
LXXIV
265
LXXV
267
LXXVI
273
LXXVII
277
LXXVIII
281
LXXIX
283
LXXX
284
LXXXI
286

XIV
43
XV
52
XVI
60
XVII
62
XVIII
65
XIX
70
XX
73
XXIII
84
XXIV
94
XXV
96
XXVI
101
XXIX
110
XXX
112
XXXI
116
XXXII
119
XXXIII
125
XXXVI
129
XXXVII
135
XXXVIII
139
XXXIX
141
XL
142
XLIII
148
XLIV
161
XLVII
169
XLVIII
176
XLIX
177
L
180
LIII
185
LIV
187
LV
197
LVIII
201
LIX
206
LX
212
LXI
214
LXII
217
LXIII
218
LXIV
227
LXV
229
LXVIII
235
LXIX
241
LXX
248
LXXI
259
LXXXII
293
LXXXIII
295
LXXXIV
300
LXXXV
308
LXXXVI
314
LXXXVII
321
LXXXVIII
324
LXXXIX
330
XC
331
XCI
333
XCIV
338
XCV
341
XCVI
344
XCVII
346
XCVIII
352
CI
356
CII
362
CIII
366
CIV
367
CVI
379
CVII
383
CVIII
387
CIX
393
CX
396
CXI
397
CXII
399
CXIII
401
CXIV
411
CXVII
413
CXVIII
415
CXIX
418
CXX
421
CXXI
425
CXXII
426
CXXIII
430
CXXIV
433
CXXV
435
CXXVI
441
CXXVII
453
CXXVIII
462
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