Title Proceedings of groups : St. Andrew's 1985 / edited by E.F. Robertson and C.M. Campbell

Published Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986

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Description 1 online resource (358 pages) Series London Mathematical Society lecture note series, 0076-0052 ; 121 London Mathematical Society lecture note series ; 121. Contents 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 Summary 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 survey and research articles contributed by other conference speakers. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its many connections with other area of mathematics. The book will prove invaluable to both experienced researchers and new postgraduates whose interests involve group theory Bibliography Includes bibliographical references Notes English Subject Group theory -- Congresses MATHEMATICS -- Group Theory. Group theory Teoria dos grupos (congressos) Groupes, Théorie des -- Congrès. Genre/Form Conference papers and proceedings Form Electronic book Author Robertson, E. F. Campbell, C. M., 1942- ISBN 9781107087811 1107087813 9781139884273 1139884271 1107100011 9781107100015 1107102561 9781107102569 1107094054 9781107094055 9780511600647 051160064X

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