Class Field Theory: From Theory to Practice

Front Cover
Springer Science & Business Media, Feb 16, 2005 - Mathematics - 491 pages
0 Reviews

Global class field theory is a major achievement of algebraic number theory based on the functorial properties of the reciprocity map and the existence theorem. This book explores the consequences and the practical use of these results in detailed studies and illustrations of classical subjects. In the corrected second printing 2005, the author improves many details all through the book.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

II
1
III
7
IV
9
V
12
VI
21
VIII
23
IX
27
X
28
LIII
274
LIV
275
LV
282
LVI
287
LVII
291
LVIII
300
LIX
305
LX
323

XI
37
XII
45
XIII
49
XIV
53
XV
54
XVII
59
XVIII
65
XIX
66
XX
74
XXI
80
XXII
86
XXIII
91
XXV
92
XXVI
94
XXVII
98
XXVIII
104
XXX
121
XXXI
125
XXXII
130
XXXIII
143
XXXIV
144
XXXV
152
XXXVI
161
XXXVII
164
XXXIX
168
XL
176
XLI
195
XLII
221
XLIII
226
XLIV
233
XLV
240
XLVI
243
XLVII
250
XLVIII
256
XLIX
258
LI
264
LII
268
LXI
330
LXII
342
LXIII
348
LXIV
354
LXV
361
LXVI
362
LXVII
363
LXVIII
365
LXIX
366
LXX
371
LXXI
375
LXXII
377
LXXIII
390
LXXIV
398
LXXV
407
LXXVI
408
LXXVII
410
LXXVIII
412
LXXIX
421
LXXX
423
LXXXI
432
LXXXII
434
LXXXIII
441
LXXXIV
442
LXXXV
443
LXXXVI
444
LXXXVII
449
LXXXVIII
450
LXXXIX
453
XC
454
XCI
456
XCII
460
XCIII
463
XCIV
467
XCV
481
XCVI
487
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 477 - On the structure of the idele group of an algebraic number field, Nagoya Math. J. 80 (1980), 117-127; Tohoku Math.
Page 479 - S. Shirai, On the central class field mod. m of Galois extensions of an algebraic number field, Nagoya Math. J., 71 (1978), 61-85.
Page 471 - Heinrich Weber and the Emergence of Class Field Theory." In The History of Modern Mathematics. Ed. David E. Rowe and John McCleary. 2 Vols. Boston: Academic Press, Inc., 1:425-450. . 1994. "The Reciprocity Law from Euler to Eisenstein.
Page 471 - Advanced topics in computational number theory, Graduate Texts in Math. 193, Springer- Verlag 2000.

References to this book

Bibliographic information