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Finite group algebras and their modules

Finite group algebras and their modules (Loan 1 times)

Material type
단행본
Personal Author
Landrock, P. (Peter)
Title Statement
Finite group algebras and their modules / P. Landrock.
Publication, Distribution, etc
Cambridge [Cambridgeshire] ;   New York :   Cambridge University Press,   c1983.  
Physical Medium
x, 274 p. ; 24 cm.
Series Statement
London Mathematical Society lecture note series,0076-0552 ; v. 84.
ISBN
0521274877 (pbk.)
General Note
Includes index.  
Bibliography, Etc. Note
Bibliography: p. 265-272.
Subject Added Entry-Topical Term
Group algebras. Finite groups. Algebraic fields. Modules (Algebra).
000 00900camuuu200289 a 4500
001 000000110449
005 19980703101803.0
008 830726s1983 enk b 001 0 eng
010 ▼a 83015049 //r93
020 ▼a 0521274877 (pbk.)
040 ▼a DLC ▼c DLC
049 1 ▼l 421013784 ▼f 과학
050 0 0 ▼a QA171 ▼b .L277 1983
082 0 0 ▼a 512/.24 ▼2 19
090 ▼a 512.2 ▼b L262f
100 1 ▼a Landrock, P. ▼q (Peter)
245 1 0 ▼a Finite group algebras and their modules / ▼c P. Landrock.
260 ▼a Cambridge [Cambridgeshire] ; ▼a New York : ▼b Cambridge University Press, ▼c c1983.
300 ▼a x, 274 p. ; ▼c 24 cm.
440 0 ▼a London Mathematical Society lecture note series, ▼x 0076-0552 ; ▼v v. 84.
500 ▼a Includes index.
504 ▼a Bibliography: p. 265-272.
650 0 ▼a Group algebras.
650 0 ▼a Finite groups.
650 0 ▼a Algebraic fields.
650 0 ▼a Modules (Algebra).

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Science & Engineering Library/Sci-Info(Stacks2)/ Call Number 512.2 L262f Accession No. 421013784 Availability Available Due Date Make a Reservation Service B M

Contents information

Table of Contents

Preface; Part I. The Structure of Group Algebras: 1. Idempotents in rings. Liftings; 2. Projective and injective modules; 3. The radical and artinian rings; 4. Cartan invariants and blocks; 5. Finite dimensional algebras; 6. Duality; 7. Symmetry; 8. Loewy series and socle series; 9. The p. i. m.'s; 10. Ext; 11. Orders; 12. Modular systems and blocks; 13. Centers; 14. R-forms and liftable modules; 15. Decomposition numbers and Brauer characters; 16. Basic algebras and small blocks; 17. Pure submodules; 18. Examples; Part II. Indecomposable Modules and Relative Projectivity: 1. The trace map and the Nakayama relations; 2. Relative projectivity; 3. Vertices and sources; 4. Green Correspondence; 5. Relative projective homomorphisms; 6. Tensor products; 7. The Green ring; 8. Endomorphism rings; 9. Almost split sequences; 10. Inner products on the Green ring; 11. Induction from normal subgroups; 12. Permutation models; 13. Examples; Part III. Block Theory: 1. Blocks, defect groups and the Brauer map; 2. Brauer's First Main Theorem; 3. Blocks of groups with a normal subgroup; 4. The Extended First main Theorem; 5. Defect groups and vertices; 6. Generalized decomposition numbers; 7. Subpairs; 8. Characters in blocks; 9. Vertices of simple modules; 10. Defect groups; Appendices; References; Index.


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