Fundamentals of Group Theory
An Advanced Approach
Seiten
2011
Birkhauser Boston Inc (Verlag)
978-0-8176-8300-9 (ISBN)
Birkhauser Boston Inc (Verlag)
978-0-8176-8300-9 (ISBN)
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Group Theory is a timely and fundamental addition to literature in the study of groups.
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area.
This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area.
This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Preliminaries.- Groups and Subgroups.- Cosets, Index and Normal Subgroups.- Homomorphisms.- Chain Conditions and Subnormality.- Direct and Semidirect Products.- Permutation Groups.- Group Actions.- The Structure of –Groups.- Sylow Theory.- The Classification Problem for Groups.- Finiteness Conditions.- Free Groups and Presentations.- Abelian Groups.- References.
| Zusatzinfo | 21 Illustrations, black and white; XII, 380 p. 21 illus. |
|---|---|
| Verlagsort | Secaucus |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Algebra • Baer's theorem • Birkhoff's theorem • chain conditions • Galois • Group actions • group theory • Gruppe (Mathematik) • Gruppentheorie • isomorphism theorems • p-groups • subnormality |
| ISBN-10 | 0-8176-8300-3 / 0817683003 |
| ISBN-13 | 978-0-8176-8300-9 / 9780817683009 |
| Zustand | Neuware |
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