The Classification of Quasithin Groups
јан 2004. · American Mathematical Soc.
Е-књига
1221
Страница
О овој е-књизи
Around 1980, G. Mason announced the classification of a certain subclass of an important class of finite simple groups known as 'quasithin groups'. The classification of the finite simple groups depends upon a proof that there are no unexpected groups in this subclass. Unfortunately Mason neither completed nor published his work. In the ""Main Theorem"" of this two-part book (Volumes 111 and 112 in the AMS series, ""Mathematical Surveys and Monographs"") the authors provide a proof of a stronger theorem classifying a larger class of groups, which is independent of Mason's arguments.In particular, this allows the authors to close this last remaining gap in the proof of the classification of all finite simple groups. An important corollary of the Main Theorem provides a bridge to the program of Gorenstein, Lyons, and Solomon (Volume 40 in the AMS series, ""Mathematical Surveys and Monographs"") which seeks to give a new, simplified proof of the classification of the finite simple groups. Part I (Volume 111) contains results which are used in the proof of the Main Theorem. Some of the results are known and fairly general, but their proofs are scattered throughout the literature; others are more specialized and are proved here for the first time. Part II of the work (the current volume) contains the proof of the Main Theorem, and the proof of the corollary classifying quasithin groups of even type. The book is suitable for graduate students and researchers interested in the theory of finite groups.
Around 1980, G. Mason announced the classification of a certain subclass of an important class of finite simple groups known as 'quasithin groups'. The classification of the finite simple groups depends upon a proof that there are no unexpected groups in this subclass. Unfortunately Mason neither...
Откријте још
О аутору
Michael Aschbacher, California Institute of Technology, Pasadena, CA
Michael Aschbacher, California Institute of Technology, Pasadena, CA
Оцените ову е-књигу
Јавите нам своје мишљење.
Информације о читању
Паметни телефони и таблети
Инсталирајте апликацију Google Play књиге за Android и iPad/iPhone. Аутоматски се синхронизује са налогом и омогућава вам да читате онлајн и офлајн где год да се налазите.
Лаптопови и рачунари
Можете да слушате аудио-књиге купљене на Google Play-у помоћу веб-прегледача на рачунару.
Е-читачи и други уређаји
Да бисте читали на уређајима које користе е-мастило, као што су Kobo е-читачи, треба да преузмете фајл и пренесете га на уређај. Пратите детаљна упутства из центра за помоћ да бисте пренели фајлове у подржане е-читаче.
