| 书目名称 | The Finite Simple Groups | | 编辑 | Robert A. Wilson | | 视频video | | | 概述 | Written by a world-renowned expert, this textbook is the first to offer a comprehensive introduction to all the finite simple groups at a level accessible to students..Gives the facts about the finite | | 丛书名称 | Graduate Texts in Mathematics | | 图书封面 |  | | 描述 | Thisbookisintendedasanintroductiontoallthe?nitesimplegroups.During themonumentalstruggletoclassifythe?nitesimplegroups(andindeedsince), a huge amount of information about these groups has been accumulated. Conveyingthisinformationtothenextgenerationofstudentsandresearchers, not to mention those who might wish to apply this knowledge, has become a major challenge. With the publication of the two volumes by Aschbacher and Smith [12, 13] in 2004 we can reasonably regard the proof of the Classi?cation Theorem for Finite Simple Groups (usually abbreviated CFSG) as complete. Thus it is timely to attempt an overview of all the (non-abelian) ?nite simple groups in one volume. For expository purposes it is convenient to divide them into four basic types, namely the alternating, classical, exceptional and sporadic groups. The study of alternating groups soon develops into the theory of per- tation groups, which is well served by the classic text of Wielandt [170]and more modern treatments such as the comprehensive introduction by Dixon and Mortimer [53] and more specialised texts such as that of Cameron [19]. | | 出版日期 | Textbook 2009 | | 关键词 | Algebra; Algebraic structure; Alternating groups; Group theory type groups; Simple groups; Sporadic group | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-84800-988-2 | | isbn_softcover | 978-1-4471-2527-3 | | isbn_ebook | 978-1-84800-988-2Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer-Verlag London 2009 |
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发表于 2025-3-21 20:00:57
