The Classification of the Finite Simple Groups, Number 10

The Classification of the Finite Simple Groups, Number 10

  • Inna Capdeboscq
  • Daniel Gorenstein
  • Richard Lyons
  • Ronald Solomon
Publisher:American Mathematical SocietyISBN 13: 9781470475536ISBN 10: 1470475537

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The Classification of the Finite Simple Groups, Number 10 is written by Inna Capdeboscq and published by American Mathematical Society. It's available with International Standard Book Number or ISBN identification 1470475537 (ISBN 10) and 9781470475536 (ISBN 13).

This book is the tenth in a series of volumes whose aim is to provide a complete proof of the classification theorem for the finite simple groups based on a fairly short and clearly enumerated set of background results. Specifically, this book completes our identification of the simple groups of bicharacteristic type begun in the ninth volume of the series (see SURV/40.9). This is a fascinating set of simple groups which have properties in common with matrix groups (or, more generally, groups of Lie type) defined both over fields of characteristic 2 and over fields of characteristic 3. This set includes 11 of the celebrated 26 sporadic simple groups along with several of their large simple subgroups. Together with SURV/40.9, this volume provides the first unified treatment of this class of simple groups.