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A Course on Group Theory (Dover Books on Advanced Mathematics) (Paperback)

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Description


This textbook for advanced courses in group theory focuses on finite groups, with emphasis on the idea of group actions. Early chapters summarize presupposed facts, identify important themes, and establish the notation used throughout the book. Subsequent chapters explore the normal and arithmetical structures of groups as well as applications.
Topics include the normal structure of groups: subgroups; homomorphisms and quotients; series; direct products and the structure of finitely generated Abelian groups; and group action on groups. Additional subjects range from the arithmetical structure of groups to classical notions of transfer and splitting by means of group action arguments. More than 675 exercises, many accompanied by hints, illustrate and extend the material.

About the Author


The late John S. Rose was Senior Lecturer in Pure Mathematics at England's University of Newcastle upon Tyne.


Product Details
ISBN: 9780486681948
ISBN-10: 0486681947
Publisher: Dover Publications
Publication Date: June 13th, 2012
Pages: 320
Language: English
Series: Dover Books on Advanced Mathematics