
Characters and Blocks of Solvable Groups
A User's Guide to Large Orbit Theorems
Springer (Publisher)
Published on 13. April 2024
Book
Hardback
IX, 159 pages
978-3-031-50705-2 (ISBN)
Description
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.
More details
Series
Edition
2024 ed.
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Illustrations
1 s/w Abbildung
IX, 159 p. 1 illus.
Dimensions
Height: 246 mm
Width: 173 mm
Thickness: 16 mm
Weight
476 gr
ISBN-13
978-3-031-50705-2 (9783031507052)
DOI
10.1007/978-3-031-50706-9
Schweitzer Classification
Other editions
Additional editions

James Cossey | Yong Yang
Characters and Blocks of Solvable Groups
A User's Guide to Large Orbit Theorems
Book
05/2025
Springer
€42.79
Shipment within 15-20 days

James Cossey | Yong Yang
Characters and Blocks of Solvable Groups
A User's Guide to Large Orbit Theorems
E-Book
04/2024
1st Edition
Springer
€42.79
Available for download
Persons
James P. Cossey, Ph.D., is a Professor in the Department of Mathematics at Akron University, where he began working in 2008. He received his Ph.D. in mathematics from the University of Wisconsin in 2005, under the supervision of Dr. I.M. Isaacs, with a dissertation entitled "Generalizations of the Fong-Swan Theorem". He then served as a postdoctoral fellow at the University of Arizona. He has published about twenty papers in the representation theory of solvable groups and symmetric groups, and has spoken at a number of conferences.
Yong Yang, Ph.D., is an Associate Professor in the Department of Mathematics at Texas State University, where he began working in 2013. He has also been the program director of a math REU site at Texas State University since 2019. He received his Ph.D. in mathematics from the University of Florida in 2009, under the supervision of Dr. Alexandre Turull, with a dissertation entitled "Orbits of the actions of finite solvablegroups". He has published more than ninety papers in group representation theory.
Yong Yang, Ph.D., is an Associate Professor in the Department of Mathematics at Texas State University, where he began working in 2013. He has also been the program director of a math REU site at Texas State University since 2019. He received his Ph.D. in mathematics from the University of Florida in 2009, under the supervision of Dr. Alexandre Turull, with a dissertation entitled "Orbits of the actions of finite solvablegroups". He has published more than ninety papers in group representation theory.
Content
Introduction.- Background Material.- Solvable Linear Groups and Gluck's Permutation Lemma.- Gluck's Conjecture.- The Huppert ?-s Conjecture.- Dolfi's Theorem.- Induction and Restriction of Characters From p-Complements.- Brauer Graphs of Solvable Groups, I.- Brauer Graphs of Solvable Groups, II.- Conjugacy Classes, Codegrees, Zeros, and other Applications.