Overgroups of Root Groups in Classical Groups

Download or read book Overgroups of Root Groups in Classical Groups written by Michael Aschbacher and published by American Mathematical Soc.. This book was released on 2016-04-26 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author extends results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular he determines the maximal subgroups of this form. He also determines the maximal overgroups of short root subgroups in finite classical groups and the maximal overgroups in finite orthogonal groups of c-root subgroups.