A classification of certain finite double coset collections in the exceptional groups

DOI10.1515/JGT.2010.016zbMath1204.14022OpenAlexW1975036802MaRDI QIDQ3060803

W. Ethan Duckworth

Publication date: 10 December 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.016

zbMATH Keywords

reductive groupsexceptional groupsparabolic groupsdouble coset spaces

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Classical groups (algebro-geometric aspects) (14L35)

Cites Work

• Complexity of action of reductive groups
• Quelques propriétés des espaces homogènes sphériques. (Some properties of spherical homogeneous spaces)
• On subgroups of \(GL_ n(F_ p)\)
• On the fixed point set of a unipotent element on the variety of Borel subgroups
• The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
• On the desingularization of the unipotent variety
• On the finiteness of the number of unipotent classes
• Nilpotency in classical groups over a field of characteristic 2
• Infiniteness of double coset collections in algebraic groups.
• Component groups of unipotent centralizers in good characteristic
• Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type
• Finiteness of Double Coset Spaces
• A CLASSIFICATION OF CERTAIN FINITE DOUBLE COSET COLLECTIONS IN THE CLASSICAL GROUPS
• Jordan block sizes of unipotent elements in exceptional algebraic groups
• Jordan Blocks of Richardson Classes in the Classical Groups and the Bala-Carter Theorem^#
• Number of Points of Varieties in Finite Fields
• On the structure of parabolic subgroups

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