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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. http://resolver.caltech.edu/CaltechAUTHORS:20160425-141046633

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Abstract

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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1090/memo/1140DOIBook
http://www.ams.org/books/memo/1140/PublisherBook
Additional Information:© 2015 American Mathematical Society. Published electronically: December 10, 2015.
Subject Keywords:Finite groups, linear groups
Record Number:CaltechAUTHORS:20160425-141046633
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20160425-141046633
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66460
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 May 2016 18:21
Last Modified:03 May 2016 18:21

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