Intersections of conjugacy classes and subgroups of algebraic groups

DOI10.1090/S0002-9939-06-08544-3zbMath1112.20040OpenAlexW1746507502MaRDI QIDQ3420041

Robert M. Guralnick

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08544-3

zbMATH Keywords

algebraic groupsreductive groupsunions of conjugacy classesroots of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15)

Related Items (7)

Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements ⋮ Varieties of elements of given order in simple algebraic groups ⋮ On a question of Külshammer for homomorphisms of algebraic groups ⋮ Complete reducibility and separability ⋮ On base sizes for algebraic groups ⋮ Products and commutators of classes in algebraic groups. ⋮ Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields III

Cites Work

• Classes unipotentes et sous-groupes de Borel
• On the finiteness of the number of unipotent classes
• Springer correspondence for disconnected groups.
• Reductive subgroups of reductive groups in nonzero characteristic.
• A geometric approach to complete reducibility.
• Conjugacy classes in Lie algebras and algebraic groups
• Springer correspondence in non connected reductive groups
• Elements of specified order in simple algebraic groups
• Endomorphisms of linear algebraic groups
• The Lengthening Pendulum
• Conjugacy classes in maximal parabolic subgroups of general linear groups

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