Cargando…

Overgroups of root groups in classical groups

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...

Descripción completa

Detalles Bibliográficos
Autor principal: Aschbacher, Michael
Lenguaje:eng
Publicado: American Mathematical Society 2016
Materias:
Acceso en línea:http://cds.cern.ch/record/2622900
_version_ 1780958623188385792
author Aschbacher, Michael
author_facet Aschbacher, Michael
author_sort Aschbacher, Michael
collection CERN
description 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.
id cern-2622900
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
publisher American Mathematical Society
record_format invenio
spelling cern-26229002021-04-21T18:48:13Zhttp://cds.cern.ch/record/2622900engAschbacher, MichaelOvergroups of root groups in classical groupsMathematical Physics and MathematicsThe 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.American Mathematical Societyoai:cds.cern.ch:26229002016
spellingShingle Mathematical Physics and Mathematics
Aschbacher, Michael
Overgroups of root groups in classical groups
title Overgroups of root groups in classical groups
title_full Overgroups of root groups in classical groups
title_fullStr Overgroups of root groups in classical groups
title_full_unstemmed Overgroups of root groups in classical groups
title_short Overgroups of root groups in classical groups
title_sort overgroups of root groups in classical groups
topic Mathematical Physics and Mathematics
url http://cds.cern.ch/record/2622900
work_keys_str_mv AT aschbachermichael overgroupsofrootgroupsinclassicalgroups