First Course in Group Theory

This textbook covers groups from a theoretical and geometrical point of view, discussing important examples, Lagranges theorem, normal subgroups, factor groups, derived subgroups, homomorphism, isomorphism, and automorphism. It is targeted to undergraduate students of mathematics with no prerequisite knowledge.

Format: Hardback
Length: 291 pages
Publication date: 11 November 2021
Publisher: Springer Verlag, Singapore

This comprehensive textbook offers a thorough and accessible exploration of groups from both a theoretical and geometrical perspective. It provides a clear and concise account of various examples and fundamental results related to groups. The book delves into important topics such as cyclic groups, permutation groups, group of arithmetical functions, matrix groups, and linear groups, among others. It also discusses essential concepts such as Lagrange's theorem, normal subgroups, factor groups, derived subgroups, homomorphism, isomorphism, and automorphism of groups.

Designed to cater to undergraduate students of mathematics with no prior knowledge of the discussed topics, the book covers all major aspects of group theory. Each section concludes with a comprehensive set of worked-out problems and supplementary exercises to reinforce the reader's understanding and skills.

By presenting the material in a clear and concise manner, this textbook is an invaluable resource for students seeking to gain a deeper understanding of group theory and its applications in mathematics. Whether you are a student, researcher, or enthusiast, this book will provide you with the necessary tools and knowledge to explore the fascinating world of groups.

Weight: 592g
Dimension: 162 x 242 x 26 (mm)
ISBN-13: 9789811663642
Edition number: 1st ed. 2021