Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of finite simple groups. Developing the module theory of complex group algebras, this book provides the module-th
Character theory is a powerful tool for understanding finite groups. In particular, the theory has been a key ingredient in the classification of fini...
Offers a review of high school geometry, and discusses special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. This book focuses on interesting
Offers a review of high school geometry, and discusses special points associated with triangles, circles and certain associated lines, Ceva's theorem,...
"The book is a pleasure to read. There is no question but that it will become, and deserves to be, a widely used textbook and reference." "Bulletin of the American Mathematical Society." Character theory provides a powerful tool for proving theorems about finite groups. In addition to dealing with techniques for applying characters to "pure" group theory, a large part of this book is devoted to the properties of the characters themselves and how these properties reflect and are reflected in the structure of the group. Chapter I consists of ring theoretic preliminaries. Chapters 2 to 6...
"The book is a pleasure to read. There is no question but that it will become, and deserves to be, a widely used textbook and reference." "Bulletin of...