The Classification of Quasithin Groups
janv. 2004 · American Mathematical Soc.
E-book
1221
Pages
À propos de cet e-book
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...
En voir d'autres
À propos de l'auteur
Michael Aschbacher, California Institute of Technology, Pasadena, CA
Michael Aschbacher, California Institute of Technology, Pasadena, CA
Donner une note à cet e-book
Dites-nous ce que vous en pensez.
Informations sur la lecture
Smartphones et tablettes
Installez l'application Google Play Livres pour Android et iPad ou iPhone. Elle se synchronise automatiquement avec votre compte et vous permet de lire des livres en ligne ou hors connexion, où que vous soyez.
Ordinateurs portables et de bureau
Vous pouvez écouter les livres audio achetés sur Google Play à l'aide du navigateur Web de votre ordinateur.
Liseuses et autres appareils
Pour lire sur des appareils e-Ink, comme les liseuses Kobo, vous devez télécharger un fichier et le transférer sur l'appareil en question. Suivez les instructions détaillées du Centre d'aide pour transférer les fichiers sur les liseuses compatibles.
