Characters and Blocks of Solvable Groups (eBook)

A User’s Guide to Large Orbit Theorems

James Cossey, Yong Yang (Autoren)

eBook Download: PDF

2024
159 Seiten
Springer Nature Switzerland (Verlag)
9783031507069 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 12.4.2024
• Reihe/Serie: Synthesis Lectures on Mathematics & Statistics
• Zusatzinfo: IX, 159 p. 1 illus.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: Blocks of finite groups • character theory • Large Orbits • Representations of finite groups • Solvable groups
• ISBN-13: 9783031507069 / 9783031507069