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Fundamentals of Group Theory Steven Roman

Fundamentals of Group Theory By Steven Roman

Fundamentals of Group Theory by Steven Roman


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Summary

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 Summary

Fundamentals of Group Theory: An Advanced Approach by Steven Roman

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 Birkhoffs 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.

Fundamentals of Group Theory Reviews

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 fur 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)

Table of Contents

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

Additional information

NPB9780817683009
9780817683009
0817683003
Fundamentals of Group Theory: An Advanced Approach by Steven Roman
New
Hardback
Birkhauser Boston Inc
2011-10-25
380
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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