Unipotent classes in maximal subgroups of exceptional algebraic groups.
From MaRDI portal
Publication:837055
DOI10.1016/j.jalgebra.2009.01.031zbMath1179.20041OpenAlexW2036704357MaRDI QIDQ837055
Publication date: 10 September 2009
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.01.031
Conjugacy classes for groups (20E45) Linear algebraic groups over arbitrary fields (20G15) Maximal subgroups (20E28)
Related Items
Representatives for unipotent classes and nilpotent orbits ⋮ Maximal 𝑃𝑆𝐿₂ Subgroups of Exceptional Groups of Lie Type ⋮ Rational rigidity for ⋮ On the involution fixity of exceptional groups of Lie type ⋮ Topological generation of exceptional algebraic groups ⋮ Hesselink normal forms of unipotent elements in some representations of classical groups in characteristic two ⋮ On Medium-Rank Lie Primitive and Maximal Subgroups of Exceptional Groups of Lie Type ⋮ Cyclic elements in semisimple Lie algebras ⋮ Unitriangular shape of decomposition matrices of unipotent blocks ⋮ A counterexample to a conjugacy conjecture of Steinberg ⋮ Unipotent elements forcing irreducibility in linear algebraic groups ⋮ On base sizes for algebraic groups ⋮ On base sizes for almost simple primitive groups ⋮ On the minimal dimension of a finite simple group ⋮ Jordan blocks of unipotent elements in some irreducible representations of classical groups in good characteristic ⋮ A new maximal subgroup of 𝐸₈ in characteristic 3
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A construction of certain maximal subgroups of the algebraic groups \(E_ 6\) and \(F_ 4\)
- Über die unipotenten Klassen reduktiver Gruppen. II
- The conjugate classes of unipotent elements of the Chevalley groups \(E_ 7\) and \(E_ 8\).
- Über die unipotenten Klassen reduktiver Gruppen
- Nilpotency in classical groups over a field of characteristic 2
- Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
- Centres of centralizers of unipotent elements in simple algebraic groups
- The Maximal Subgroups of E 6 (2) and Aut(E 6 (2))
- On Cocharacters Associated to Nilpotent Elements of Reductive Groups
- Base sizes for simple groups and a conjecture of Cameron
- Maximal subgroups of exceptional algebraic groups
- Classes of unipotent elements in simple algebraic groups. I
- Classes of unipotent elements in simple algebraic groups. II
- 𝐴₁ subgroups of exceptional algebraic groups
- The maximal subgroups of positive dimension in exceptional algebraic groups
- Jordan block sizes of unipotent elements in exceptional algebraic groups