Characters and Blocks of Solvable Groups

A User's Guide to Large Orbit Theorems

James Cossey, Yong Yang

  • Springer

  • Date de publication : 2024-04-12

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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.

Détails
Auteur
James  Cossey , Yong  Yang
Marque
Springer
Collection
n.c
Parution
2024-04-12
Pages
159 pages
EAN papier
9783031507052
Langue
Anglais
Informations ebook
EAN PDF
9783031507069
Prix
42,79 €
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Nb pages copiables 1
Nb pages imprimables 15
Taille du fichier 4690 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
EAN EPUB
9783031507069
Prix
42,79 €
En savoir plus
Nb pages copiables 1
Nb pages imprimables 15
Taille du fichier 10711 Ko
Ce livre est accessible aux handicaps   Informations sur l'accessibilité
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Auteur(s) du livre


Defaut-Illustration James Cossey
Defaut-Illustration Yong Yang
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. 

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