| Titre : |
Combinatorial Group theory : presentations of groups in terms of generators and relations |
| Type de document : |
texte imprimé |
| Auteurs : |
Wihelm MAGNUS, Auteur ; Abraham KARRASS, Auteur ; Donald SOLITAR, Auteur |
| Mention d'édition : |
second edition |
| Editeur : |
Dover Publications |
| Année de publication : |
1976 |
| Importance : |
444 p. |
| Format : |
23 cm. |
| ISBN/ISSN/EAN : |
978-0-486-63281-0 |
| Note générale : |
Index. |
| Langues : |
Anglais (eng) |
| Catégories : |
MATHÉMATIQUES:Analyse
|
| Index. décimale : |
04-02 Analyse |
| Résumé : |
A seminal, much-cited account of combinatorial group theory — coauthored by a distinguished teacher of mathematics and a pair of his colleagues — this text for graduate students features numerous helpful exercises.
The book begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; varieties of groups; products of groups; and residual and Hopfian properties.
In addition to the exercises, which appear throughout the text, supplementary materials include an extensive bibliography of important books and monographs, as well as a list of theorems, corollaries, and definitions and a list of symbols and abbreviations.
Sommaire:
BASIC
FACTOR GROUPS AND SUBGROUPS
NIELSEN TRANSFORMATIONS
FREE PRODUCTS AND FREE PRODUCTS WITH AMALGAMATIONS
COMMUTATOR CALCULUS
INTRODUCTION TO SOME RECENT DEVELOPMENTS |
Combinatorial Group theory : presentations of groups in terms of generators and relations [texte imprimé] / Wihelm MAGNUS, Auteur ; Abraham KARRASS, Auteur ; Donald SOLITAR, Auteur . - second edition . - Dover Publications, 1976 . - 444 p. ; 23 cm. ISBN : 978-0-486-63281-0 Index. Langues : Anglais ( eng)
| Catégories : |
MATHÉMATIQUES:Analyse
|
| Index. décimale : |
04-02 Analyse |
| Résumé : |
A seminal, much-cited account of combinatorial group theory — coauthored by a distinguished teacher of mathematics and a pair of his colleagues — this text for graduate students features numerous helpful exercises.
The book begins with a fairly elementary exposition of basic concepts and a discussion of factor groups and subgroups. The topics of Nielsen transformations, free and amalgamated products, and commutator calculus receive detailed treatment. The concluding chapter surveys word, conjugacy, and related problems; adjunction and embedding problems; varieties of groups; products of groups; and residual and Hopfian properties.
In addition to the exercises, which appear throughout the text, supplementary materials include an extensive bibliography of important books and monographs, as well as a list of theorems, corollaries, and definitions and a list of symbols and abbreviations.
Sommaire:
BASIC
FACTOR GROUPS AND SUBGROUPS
NIELSEN TRANSFORMATIONS
FREE PRODUCTS AND FREE PRODUCTS WITH AMALGAMATIONS
COMMUTATOR CALCULUS
INTRODUCTION TO SOME RECENT DEVELOPMENTS |
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