The P-radical classes in simple algebraic groups and finite groups of Lie type

Given either a simple algebraic group or a finite group of Lie type, of rank at least 2, and a maximal parabolic subgroup, we determine which non-trivial unipotent classes have the property that their intersection with the parabolic subgroup is contained within its unipotent radical. Such classes ar...

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Veröffentlicht in:	Journal of group theory 2012-09, Vol.15 (5), p.669-685
1. Verfasser:	Lawther, R.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Group theory Intersections Mathematical analysis Radicals Subgroups
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description	Given either a simple algebraic group or a finite group of Lie type, of rank at least 2, and a maximal parabolic subgroup, we determine which non-trivial unipotent classes have the property that their intersection with the parabolic subgroup is contained within its unipotent radical. Such classes are rare; listing them provides a basis for inductive arguments.
doi_str_mv	10.1515/jgt-2012-0013
format	Article
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language	eng
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subjects	Algebra Group theory Intersections Mathematical analysis Radicals Subgroups
title	The P-radical classes in simple algebraic groups and finite groups of Lie type
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