An Introduction to the Theory of Groups
(Sprache: Englisch)
Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the...
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Klappentext zu „An Introduction to the Theory of Groups “
Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews:
"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS
Inhaltsverzeichnis zu „An Introduction to the Theory of Groups “
- Groups and Homomorphisms- The Isomorphism Theorems
- Symmetric Groups and G-Sets
- The Sylow Theorems
- Normal Series
- Finite Direct Products
- Extensions and Cohomology
- Some Simple Linear Groups
- Permutations and Mathieu Groups
- Abelian Groups
- Free Groups and Free Products
- The Word Problem
- Appendices: Some Major Algebraic Systems
- Equivalence Relations and Equivalence Classes
- Functions
- Zorn's Lemma
- Countability
- Commutative Rings
- Bibliography
- Notation
- Index
Bibliographische Angaben
- Autor: Joseph J. Rotman
- 1994, 4th ed., XV, 517 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 0387942858
- ISBN-13: 9780387942858
- Erscheinungsdatum: 13.08.1999
Sprache:
Englisch
Rezension zu „An Introduction to the Theory of Groups “
Fourth Edition
Pressezitat
Fourth Edition J.J. Rotman
An Introduction to the Theory of Groups
"Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route."-MATHEMATICAL REVIEWS
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