Fox J. Introduction to Group Theory. An Activity-Based Approach 2023
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Fox J. Introduction to Group Theory. An Activity-Based Approach 2023
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Textbook in PDF format
This book is an introduction to group theory suitable for an introductory course in abstract algebra. Much of the content is delegated to a series of activities that are meant to be worked through by the students with the help of the instructor. There is also a detailed treatment of mathematical proofs with several examples (with commentary) of the most common proof techniques used in the course.
Symmetry Groups.
Abstract Groups.
Examples of Groups.
Subgroups.
The Symmetric and Alternating Groups.
Isomorphisms of Groups.
Cyclic Groups.
Direct Products of Groups.
Quotient Groups, Part 1.
Quotient Groups, Part 2.
Index