Characters and Blocks of Solvable Groups: A User's Guide to Large Orbit Theorems
Cossey, James, Yang, Yong
- 出版商: Springer
- 出版日期: 2024-04-13
- 售價: $1,940
- 貴賓價: 9.5 折 $1,843
- 語言: 英文
- 頁數: 166
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031507053
- ISBN-13: 9783031507052
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相關主題
商品描述
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.
商品描述(中文翻譯)
這本書突顯了有限可解群的表示理論的最新發展，該理論旨在以一種能夠更好地研究所討論的群的方式將群論與線性代數相連接。在過去幾十年中，使用所謂的「大軌道」定理已經證明了可解群的表示的一些結果。本書提供了對大軌道定理的現狀的廣泛調查。作者概述了大軌道定理的證明，以提供對該主題的概述，然後演示了如何使用這些定理來證明關於可解群的新結果。
作者簡介
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.
作者簡介(中文翻譯)
James P. Cossey, Ph.D.，是阿克倫大學數學系的教授，他於2008年開始在該校工作。他於2005年從威斯康辛大學獲得數學博士學位，指導教授是I.M. Isaacs博士，論文題為「Fong-Swan定理的推廣」。之後，他在亞利桑那大學擔任博士後研究員。他在可解群和對稱群的表示理論方面發表了大約二十篇論文，並在多個會議上發表演講。
Yong Yang, Ph.D.，是德克薩斯州立大學數學系的副教授，他於2013年開始在該校工作。自2019年以來，他還擔任德克薩斯州立大學數學REU研究項目的計劃主任。他於2009年從佛羅里達大學獲得數學博士學位，指導教授是Alexandre Turull博士，論文題為「有限可解群作用的軌道」。他在群表示理論方面發表了九十多篇論文。
