UID:
almahu_9947367274102882
Format:
1 online resource (289 p.)
ISBN:
1-281-76769-7
,
9786611767693
,
0-08-087346-4
Series Statement:
Pure and applied mathematics; a series of monographs and textbooks ; v. 34
Content:
Cohomology of groups
Note:
Description based upon print version of record.
,
Front Cover; Cohomology of Groups; Copyright Page; Contents; Preface; Chapter I. Cohomology Groups of G in A; 1-1. Differential Groups; 1-2. Herbrand's Lemma; 1-3. G-Complexes (Positive Part); 1-4. G-Complexes (Negative Part); 1-5. Cohomology Groups of G in A; 1-6. Problems and Supplements; Chapter II . Mappings of Cohomology Groups; 2-1. Homomorphism of Pairs; 2-2. Independence of the Complex; 2-3. Conjugation, Restriction, and Inflation; 2-4. The Transfer or Corestriction; 2-5. Explicit Formulas; Chapter III . Some Properties of Cohomology Groups; 3-1. Miscellaneous Facts
,
3-2. Cyclic Groups and the Herbrand Quotient3-3. Dimension Shifting; 3-4. The Inflation-Restriction Sequence; 3-5. The Group H-2(G, Z); 3-6. Cohomological Equivalence; 3-7. Problems and Supplements; Chapter IV. The Cup Product; 4-1. Cup Products; 4-2. Properties of the Cup Product; 4-3. Cup Products for a Pairing; 4-4. The Duality Theorem; 4-5. The Nakayama Map; 4-6. Problems and Supplements; Chapter V. Group Extensions; 5-1. The Extension Problem and H2; 5-2. Commutator Subgroups in Group Extensions; 5-3. Factor Extensions; 5-4. The Principal Ideal Theorem
,
Chapter VI. Abstract Class Field Theory6- 1. Formations; 6-2. Field Formations; 6-3. Class Formations; 6-4. The Main Theorem; 6-5. Reciprocity Law and Norm Residue Symbol; 6-6. The Existence Theorem; References; Subject Index
,
English
Additional Edition:
ISBN 0-12-742750-3
Language:
English
Bookmarklink
