Del 15 - London Mathematical Society Student Texts

Presentations of Groups

Häftad, Engelska, 1997

AvD. L. Johnson,D. L. (University of Nottingham) Johnson,C. M. Series,J. W. Bruce

859 kr

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The aim of this book is to provide an introduction to combinatorial group theory. Any reader who has completed first courses in linear algebra, group theory and ring theory will find this book accessible. The emphasis is on computational techniques but rigorous proofs of all theorems are supplied. This new edition has been revised throughout, including new exercises and an additional chapter on proving that certain groups are infinite.

Produktinformation

Utgivningsdatum1997-05-15
Mått152 x 227 x 14 mm
Vikt310 g
FormatHäftad
SpråkEngelska
SerieDel 15 i London Mathematical Society Student Texts
Antal sidor232
Upplaga2
FörlagCambridge University Press
ISBN9780521585422

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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.