UID:
edocfu_9959240264302883
Format:
1 online resource (358 pages) :
,
digital, PDF file(s).
ISBN:
1-139-88427-1
,
0-511-60064-X
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1-107-08781-3
,
1-107-10001-1
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1-107-10256-1
,
1-107-09405-4
,
1-107-09092-X
Series Statement:
London Mathematical Society lecture note series,
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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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
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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
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(Pi)iεI) a building?2.3 The grooup G as an amalgamated sum; 2.4 An existence theoroem; 2.5 Homotopy of I-words; 2.6 A sketch of proof of Theorem 1; 3. EXAMPLES; 3.1 Some buildings of type Ã2; 3.2 A buitding of type Ď4; 3.3 A classification theorem; 3.4 Compact Lie groups and ""unitary"" Kac-Moody groups; REFERENCES; FINITE PRESENTABILITY OF S-ARITHMETIC GROUPS; REFERENCES; EFFICIENT PRESENTATIONS OF GL(2,Z) AND PGL(2,Z); REFERENCES; THE COMMUTATOR MAP; 1. THE DIAMETERS; 2. THE DEPTH; 3. CONNECTED COMPONENTS; REFERENCES; POLYNOMIAL FUNCTIONS AND REPRESENTATIONS; REFERENCES
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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
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4(a) Free Generators of G2
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English
Additional Edition:
ISBN 0-521-33854-9
Additional Edition:
ISBN 1-299-70698-3
Language:
English
