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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.
Inhaltsverzeichnis
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.
This is an introductory textbook on group theory which covers its fundamentals in great detail. What distinguishes the treatment of group theory from that usually given in algebra textbooks is the very detailed presentation. This charming volume has much to recommend itself. (Monatshefte für Mathematik, 2015)
This is a text aimed at graduate students. Its 350 pages or so cover more than enough to teach a year-long course on `general group theory (meaning here both finite and infinite groups). Most standard topics are covered in a fresh manner, by insisting on lesser known aspects and by providing newer, more elegant proofs. An adequate collection of proposed exercises comes at the end of each chapter . (Marian Deaconescu, Zentralblatt MATH, Vol. 1244, 2012)
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