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Characters and Blocks of Solvable Groups: A User's Guide to Large Orbit Theorems

Characters and Blocks of Solvable Groups: A User's Guide to Large Orbit Theorems

Hardcover

Series: Synthesis Lectures on Mathematics & Statistics

AlgebraGeneral Mathematics

ISBN10: 3031507053
ISBN13: 9783031507052
Publisher: Springer
Published: Apr 13 2024
Pages: 159
Weight: 0.95
Height: 0.63 Width: 9.61 Depth: 6.77
Language: English
This book highlights recent developments in the representation theory of finite solvable groups, which seeks to connect group theory to linear algebra in ways that allow for better study of the groups in question. Over the last several decades, a number of results in the representations of solvable groups have been proven using so-called large orbit theorems. This book provides an extensive survey of the current state of the large-orbit theorems. The authors outline the proofs of the large orbit theorems to provide an overview of the topic, then demonstrate how these theorems can be used to prove new results about solvable groups.

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Algebra