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Groups--St. Andrews 1981 /
This book contains selected papers from the international conference 'Groups - St Andrews 1981', which was held at the University of St Andrews in July/August 1981. Its contents reflect the main topics of the conference: combinatorial group theory; infinite groups; general groups, finite o...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1982.
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| Colección: | London Mathematical Society lecture note series ;
71. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; Preface; Twenty-five years of Groups St Andrews Conferences; ORIGINAL INTRODUCTION; 1. An elementary introduction to coset table methods in computational group theory; 0. PROLOGUE; 1. THE TODD-COXETER METHOD; 2. SOME ASPECTS FOR THE IMPLEMENTATION; 3. INFORMATION OBTAINABLE FROM A COSET TABLE; 4. FIRST VARIATION ON THE THEME OF TOW AND COXETER: PRESENTATIONS FOR A SUBGROUP; 5. SECOND VARIATION ON THE THEME OF TOW AND COXETER: PRESENTATIONS FOR A CONCRETE GROUP; 6. THIRD VARIATION ON THE THEME OF TOW AND COXETER: ALL SUBGROUPS OF LOW INDEX
- 7. YET ANOTHER OCCURRENCE OF THE THEME OF TODD AND COXETER: A SIDE-GLANCE ON THE SCHREIER-TODD-COXETER-SIMS METHOD8. EPILOGUE; REFERENCES; 2. Applications of cohomology to the theory of groups; INTRODUCTION; CONTENTS; 1. CONJUGACY OF COMPLEMENTS AND THE FIRST COHOMOLOGY GROUP; 2. GROUP EXTENSIONS AND THE SECOND COHOMOLOGY GROW; 3. APPLICATIONS OF SPLITTING AND NEAR SPLITTING; I. Nilpotent supplements; II. Finitely generated soluble groups of finite rank; III. Nearly maximal subgroups; 4. AUTOMORPHISMS OF GROUP EXTENSIONS; 5. CONSTRUCTING OUTER AUTOMORPHISMS
- I. Automorphisms of free abelianized extensionsII. Outer automorphisms of finite p-groups; III. Comp lete groups; BIBLIOGRAPHY; 3. Groups with exponent four; INTRODUCTION; 1. BURNSIDE AND EXPONENT FOUR; A) Burnside groups; B) Commutators; C) Groups with exponent four: the Sanov theorem; D) Groups with exponent four: the Tobin theorem; 2. COMMUTATOR LAWS IN GROUPS WITH EXPONENT FOUR; A) Basic congruences; B) The group B(2); C) The groups B(n), n> 2; 3. COMMUTATOR STRUCTURE UNDER ADDITIONAL CONSTRAINTS; A) Commutator Conditions; B) Conditions on the Generators
- 4. THE CLASS OF B(n) AND SOLVABILITY5. RECENT DEVELOPMENTS; REFERENCES; 4. The Schur multiplier: an elementary approach; 1. HISTORICAL INTRODUCTION AND APOLOGIA; 2. TRANSFER AND GROWS WITH FINITE CENTRAL FACTOR-GROUPS; 3. MULTIPLIERS VIA PRESENTATIONS AND DEFINING PAIRS; 4. SYLOW THEORY OF THE MULTIPLIER. SOME BETTER BOUNDS; 5. MULTIPLIERS OF DIRECT PRODUCTS. ABELIAN GROUPS. DEFICIENCY PR0BLEMS; 6. SOME HARDER PROBLEMS CONCERNED WITH MULTIPLIERS; REFERENCES; 5. A procedure for obtaining simplified defining relations for a subgroup; 1. INTRODUCTION; 2. THE MODIFIED ALGORITHM