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Presentations of Groups
Taschenbuch von D. L. Johnson
Sprache: Englisch

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Beschreibung
Emphasizing computational techniques, this book provides an accessible and lucid introduction to combinatorial group theory. Rigorous proofs of all theorems and a light, informal style make Presentations of Groups a self-contained combinatorics class. Numerous and diverse exercises provide readers with a thorough overview of the subject. While catering to combinatorics beginners, this book also includes the frontiers of research, and explains software packages such as GAP, MAGMA, and QUOTPIC. This new edition has been revised throughout, including new exercises and an additional chapter on proving certain groups are infinite. Aimed at advanced undergraduates, this book will be a resource for graduate students and researchers.
Emphasizing computational techniques, this book provides an accessible and lucid introduction to combinatorial group theory. Rigorous proofs of all theorems and a light, informal style make Presentations of Groups a self-contained combinatorics class. Numerous and diverse exercises provide readers with a thorough overview of the subject. While catering to combinatorics beginners, this book also includes the frontiers of research, and explains software packages such as GAP, MAGMA, and QUOTPIC. This new edition has been revised throughout, including new exercises and an additional chapter on proving certain groups are infinite. Aimed at advanced undergraduates, this book will be a resource for graduate students and researchers.
Inhaltsverzeichnis
1. Free groups; 2. Schreier's method; 3. Nielsen's method; 4. Free presentations of groups; 5. Some popular groups; 6. Finitely generated groups; 7. Finite groups with few relations; 8. Coset enumeration; 9. Presentations of subgroups; 10. Presentations of group extensions; 11. Relation models; 12. An algorithm for N/N'; 13. Finite p-groups; 14. The nilpotent quotient algorithm; 15. The Golod-Shafarevich theorem; 16. Fibonacci update.
Details
Erscheinungsjahr: 2004
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521585422
ISBN-10: 0521585422
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Johnson, D. L.
Redaktion: Series, C. M.
Bruce, J. W.
Auflage: Revised
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 14 mm
Von/Mit: D. L. Johnson
Erscheinungsdatum: 15.05.2004
Gewicht: 0,383 kg
Artikel-ID: 106867897
Inhaltsverzeichnis
1. Free groups; 2. Schreier's method; 3. Nielsen's method; 4. Free presentations of groups; 5. Some popular groups; 6. Finitely generated groups; 7. Finite groups with few relations; 8. Coset enumeration; 9. Presentations of subgroups; 10. Presentations of group extensions; 11. Relation models; 12. An algorithm for N/N'; 13. Finite p-groups; 14. The nilpotent quotient algorithm; 15. The Golod-Shafarevich theorem; 16. Fibonacci update.
Details
Erscheinungsjahr: 2004
Fachbereich: Allgemeines
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521585422
ISBN-10: 0521585422
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Johnson, D. L.
Redaktion: Series, C. M.
Bruce, J. W.
Auflage: Revised
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 229 x 152 x 14 mm
Von/Mit: D. L. Johnson
Erscheinungsdatum: 15.05.2004
Gewicht: 0,383 kg
Artikel-ID: 106867897
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