Finite Groups With Automorphisms Inverting Many Elements

Download or read book Finite Groups Whose 2-Subgroups Are Generated by at Most 4 Elements written by Daniel Gorenstein and published by American Mathematical Soc.. This book was released on 1974 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The object of the memoir is to determine all finite simple (and more generally fusion-simple) groups each of whose 2-subgroups can be generated by at most 4 elements. Using a result of MacWilliams, we obtain as a corollary the classifications of all finite simple groups whose Sylow 2-subgroups do not possess an elementary abelian normal subgroups of order 8. The general introduction provides a fairly detailed outline of the over-all proof of our main classification theorem, including the methods employed. The proof itself is divided into six major parts; and the introductory section of each part gives a description of the principal results to be proved in that part.