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Titlebook: Characters and Blocks of Solvable Groups; A User’s Guide to La James Cossey,Yong Yang Book 2024 The Editor(s) (if applicable) and The Autho

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书目名称Characters and Blocks of Solvable Groups
副标题A User’s Guide to La
编辑James Cossey,Yong Yang
视频videohttp://file.papertrans.cn/225/224037/224037.mp4
概述Discusses recent developments in the representation theory of finite solvable groups.Provides an extensive survey of the current state of the large-orbit theorems, providing a broad overview of the to
丛书名称Synthesis Lectures on Mathematics & Statistics
图书封面Titlebook: Characters and Blocks of Solvable Groups; A User’s Guide to La James Cossey,Yong Yang Book 2024 The Editor(s) (if applicable) and The Autho
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.
出版日期Book 2024
关键词Solvable Groups; Character Theory; Blocks of Finite Groups; Representations of Finite Groups; Large Orbi
版次1
doihttps://doi.org/10.1007/978-3-031-50706-9
isbn_softcover978-3-031-50708-3
isbn_ebook978-3-031-50706-9Series ISSN 1938-1743 Series E-ISSN 1938-1751
issn_series 1938-1743
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Spannungsfelder der Praxisforschungf Moreto and Wolf that determines that number of characters needed to “cover” the order of the solvable group .. In the last section we discuss, without proof, a number of other uses for large orbit theorems in the study of solvable groups, including character degrees, nilpotent blocks, and zeros of characters.
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The Fixed Point Subspace of an Element. is solvable and acts coprimely on . via automorphisms, then there are two elements of . whose centralizers in . intersect trivially. This proof draws on many of the results and techniques we have established so far.
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1938-1743 nsive 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.978-3-031-50708-3978-3-031-50706-9Series ISSN 1938-1743 Series E-ISSN 1938-1751
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Book 2024groups 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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