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Fundamentals of Group Theory provides an advanced look at the basic theory of groups. Standard topics in the field are covered alongside a great deal of unique content. There is an emphasis on universality when discussing the isomorphism theorems, quotient groups and free groups as well as a focus on the role of applying certain operations, such as intersection, lifting and quotient to a “group extension”. Certain concepts, such as subnormality, group actions and chain conditions are introduced perhaps a bit earlier than in other texts at this level, in the hopes that the reader would acclimate to these concepts earlier.
Some additional features of the work include:
This book is suitable for a graduate course in group theory, part of a graduate course in abstract algebra or for independent study. It can also be read by advanced undergraduates. The book assumes no specific background in group theory, but does assume some level of mathematical sophistication on the part of the reader.
“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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Book Description Hardcover. Condition: new. Seller Inventory # 9780817683009
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 forthose pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups. 392 pp. Englisch. Seller Inventory # 9780817683009
Book Description Hardback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9780817683009
Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Integrates classic material and new concepts Gives a comprehensive account of the basic theory of groups Content is written in a clear, precise and easy to read style Provides an introduction for those new to the theory of groups. Seller Inventory # 5975973
Book Description Condition: New. Seller Inventory # I-9780817683009
Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 forthose pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups. Seller Inventory # 9780817683009