Character Theory of Finite Groups - (Dover Books on Mathematics) by I Martin Isaacs (Paperback)

This book is a comprehensive and insightful guide to character theory in group theory, providing readers with a powerful tool for proving theorems about finite groups.

With a focus on properties of characters and their reflection in the structure of the group, this text covers a wide range of topics, including ring theoretic preliminaries, basic material of character theory, irreducible representations over arbitrary fields, and more specialized topics such as connections between degrees of irreducible characters and group structure.

The book is well-organized, with each chapter containing carefully thought out problems, including exercises, examples, further results, and extensions and variations of theorems in the text.

The prerequisites for this book are some basic finite group theory, rings, and Galois theory, making it an ideal resource for graduate students and researchers in mathematics.