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Proceedings of groups : St. Andrew's 1985 /

This book contains selected papers from the international conference Groups - St Andrews 1985. Five leading group theorists - Bachmuth, Baumslag, Neuman, Roseblade and Tits - have presented survey articles based on short lecture courses given at the conference and the rest of the book comprises both...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Robertson, E. F., Campbell, C. M., 1942-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986.
Colección:London Mathematical Society lecture note series ; 121.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • B. REFLECTIONS ON THE FREIHEITSSATZB. 1 The Freiheitssatz; B.2 Magnus' method; B.2 Brodskii's variation; B.3 Affine sets of characters; C. SUBGROUPS OF ONE-RELATOR GROUPS; C.1 The theorems of Magnus and Brodskii; C.2 Free subgroups; C.3 The general subgroup theorems; D. CLASSIFICATION AND PROPERTIES OF VARIOUS ONE-RELATOR GROUPS; D.1 Free groups; D.2 Cohomology of one-relator groups; D.3 Classification; D.4 One-relator groups with torsion; D.5 Some special classes of one-relator groups; REFERENCES; SOME ALGORITHMS FOR COMPUTING WITH FINITE PERMUTATION GROUPS; 1. INTRODUCTION
  • 2. THE O'NAN-SCOTT THEOREM3. THE EARNS ROUTINE; 4. THE PCORE ROUTINE; 5. THE SOCLE ROUTINE; 6. THE SOCLEBITS ROUTINE; 7. THE COMPFACTORS ROUTINE; 8. THE SIMPLETEST ROUTINE; 9. COMMENTARY; REFERENCES; FIVE LECTURES ON GROUP RINGS; LECTURE 1; LECTURE 2; LECTURE 3; LECTURE 4; LECTURE 5; REFERENCES; BUILDINGS AND GROUP AMALGAMATIONS; 1. DEFINITIONS. PRELIMINARIES; 1.1 Amalgamated sums; 1.2 Chamber systems ([TiS], [Ka3]); 1.3 Coxeter chamber systems; 1.4 Buildings; 2. CHAMBER-TRANSITIVE AUTOMORPHISM GROUPS OF BUILDINGS; 2.1 Preliminary remarks; 2.2 When is the chamber system C(G; B
  • ON QUESTIONS OF BRAUER AND FEITREFERENCES; THE PICARD GROUP AND THE MODULAR GROUP; 2. GROUP THEORETICAL STRUCTURE; 3. GENERAL SUBGROUP STRUCTURE; 4. CONGRUENCE SUBGROUP LATTICE; 5. FUCHSIAN SUBGROUPS; 6. MISCELLANY; REFERENCES; FACTORS GROUPS OF THE LOWER CENTRAL SERIES OF FREE PRODUCTS OF FINITELY GENERATED ABELIAN GROUPS; 1. INTRODUCTION; 2. GROUP THEORETICAL FOUNDATIONS; 3. PREREQUISITES FROM THE COMMUTATOR CALCULUS; 3(a) The Ordering Theorem and Maximal Components; 3(b) The Collection Process; 3(c) The F-simple Basic Commutators.; 4. THE LOWER CENTRAL SERIES OF G