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nexusstc/Theory of Blocks of the Finite Groups/a44fec54fcc1e18c6896f01a081f72a8.djvu
Theory of Blocks of the Finite Groups 🔍
Lluís Puig Springer Science & Business Media, 2002, 2002
英语 [en] · 中文 [zh] · DJVU · 2.3MB · 2002 · 📘 非小说类图书 · 🚀/duxiu/lgli/lgrs/nexusstc/zlib · Save
描述
About 60 years ago, R. Brauer introduced "block theory"; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable two-sided ideal that also is a direct summand of kG determines a G-block.
But the main discovery of Brauer is perhaps the existence of families of infinitely many nonisomorphic groups having a "common block"; i.e., blocks having mutually isomorphic "source algebras".
In this book, based on a course given by the author at Wuhan University in 1999, all the concepts mentioned are introduced, and all the proofs are developed completely. Its main purpose is the proof of the existence and the uniqueness of the "hyperfocal subalgebra" in the source algebra. This result seems fundamental in block theory; for instance, the structure of the source algebra of a nilpotent block, an important fact in block theory, can be obtained as a corollary.
The exceptional layout of this bilingual edition featuring 2 columns per page (one English, one Chinese) sharing the displayed mathematical formulas is the joint achievement of the author and A. Arabia.
备用文件名
lgli/Puig L. Blocks of finite groups.. the hyperfocal subalgebra of a block (SMM, Springer, 2002)(chn)(en)(ISBN 9783540435143)(T)(209s)_MAa_.djvu
备用文件名
lgrsnf/Puig L. Blocks of finite groups.. the hyperfocal subalgebra of a block (SMM, Springer, 2002)(chn)(en)(ISBN 9783540435143)(T)(209s)_MAa_.djvu
备用文件名
zlib/no-category/Luis Puig/Blocks of Finite Groups_25579274.djvu
备选标题
Blocks of finite groups: the hyperfocal subalgebra of a block = [You xian qun de kuai: kuai de chao ju jiao zi dai shu]
备选标题
Blocks of finite groups : the hyperfocal subalgebra of a block = [有限群的块 : 块的超聚焦子代数
备选作者
Lluís Puig
备选作者
路易斯·步驰
备用出版商
Springer Spektrum. in Springer-Verlag GmbH
备用出版商
Steinkopff. in Springer-Verlag GmbH
备用出版商
Springer-Verlag New York, LLC
备用出版商
Springer Berlin
备用版本
Springer monographs in mathematics, Berlin, New York, Germany, 2002
备用版本
Springer monographs in mathematics, New York, New York State, 2002
备用版本
Springer Monographs in Mathematics, Berlin [etc, 2002
备用版本
1 edition, August 5, 2002
备用版本
2002, 2007
元数据中的注释
{"edition":"2002","isbns":["354043514X","9783540435143"],"last_page":209,"publisher":"Springer"}
元数据中的注释
Includes bibliographical references (p. [209]) and index
Text written in English and Chinese ; text in Chinese
元数据中的注释
Includes bibliographical references and index.
备用描述
<p><P>About 60 years ago, R. Brauer introduced block theory; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p&#58; any indecomposable two-sided ideal that also is a direct summand of kG determines a G-block.<BR>But the main discovery of Brauer is perhaps the existence of families of infinitely many nonisomorphic groups having a common block; i.e., blocks having mutually isomorphic source algebras.<BR>In this book, based on a course given by the author at Wuhan University in 1999, all the concepts mentioned are introduced, and all the proofs are developed completely. Its main purpose is the proof of the existence and the uniqueness of the hyperfocal subalgebra in the source algebra. This result seems fundamental in block theory; for instance, the structure of the source algebra of a nilpotent block, an important fact in block theory, can be obtained as a corollary.<P> The exceptional layout of this bilingual edition featuring 2 columns per page (one English, one Chinese) sharing the displayed mathematical formulas is the joint achievement of the author and A. Arabia.<p></p>
备用描述
"This book is an introduction to block theory including most of the main results about this discovery. From common knowledge on algebras and elementary knowledge of linear group representations, it starts by doing p-adic completion and lifting idempotent results, and reaches a complete proof of the existence and uniqueness of the hyperfocal subalgebra of a block."--Jacket
备用描述
Springer Monographs in Mathematics
Erscheinungsdatum: 13.06.2002
开源日期
2023-07-29
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