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Overgroups of Root Groups in Classical Groups

Aschbacher, Michael (2016) Overgroups of Root Groups in Classical Groups. Memoirs of the American Mathematical Society. No.1140. American Mathematical Society , Providence, RI. ISBN 978-1-4704-1845-8.

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We extend results of McLaughlin and Kantor on overgroups of long root subgroups and long root elements in finite classical groups. In particular we determine the maximal subgroups of this form. We also determine the maximal overgroups of short root subgroups in finite classical groups, and the maximal overgroups in finite orthogonal groups of c-root subgroups.

Item Type:Book
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Additional Information:© 2015 American Mathematical Society. Published electronically: December 10, 2015.
Subject Keywords:Finite groups, linear groups
Series Name:Memoirs of the American Mathematical Society
Issue or Number:1140
Record Number:CaltechAUTHORS:20160425-141046633
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66460
Deposited By: Tony Diaz
Deposited On:03 May 2016 18:21
Last Modified:10 Nov 2021 23:58

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