The length and depth of algebraic groups
From MaRDI portal
Publication:2633086
DOI10.1007/s00209-018-2101-6OpenAlexW2963105686WikidataQ129716963 ScholiaQ129716963MaRDI QIDQ2633086
Timothy C. Burness, Martin W. Liebeck, Aner Shalev
Publication date: 8 May 2019
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.08214
Linear algebraic groups over arbitrary fields (20G15) Maximal subgroups (20E28) Simple groups (20E32) Chains and lattices of subgroups, subnormal subgroups (20E15)
Related Items
Unnamed Item ⋮ Evaluations of noncommutative polynomials on algebras: methods and problems, and the L'vov-Kaplansky conjecture ⋮ The length and depth of compact Lie groups ⋮ The length and depth of associative algebras
Cites Work
- Unnamed Item
- Linearity for actions on vector groups.
- A new subgroup lattice characterization of finite solvable groups.
- Simple irreducible subgroups of exceptional algebraic groups.
- Finite groups having chain difference one
- Chains of subgroups in groups of Lie type. I
- On the length of finite simple groups having chain difference one.
- Finite groups of chain difference one
- Chains of subgroups in symmetric groups
- Éléments unipotents et sous-groupes paraboliques de groupes réductifs. I
- Finite groups with invariant fourth maximal subgroups
- The maximal subgroups of the classical groups
- Semisimple subalgebras of semisimple Lie algebras
- Chains of Subgroups in Groups of Lie Type Ii
- On the length of subgroup chains in the symmetric group
- The maximal subgroups of classical algebraic groups
- Chains of Subgroups in Groups of Lie Type III
- Defining Normal Subgroups of Unipotent Algebraic Groups
- The depth of a finite simple group
- The maximal subgroups of positive dimension in exceptional algebraic groups
- A Note on Solvable Groups
- On the subgroup structure of classical groups
- Finite simple groups with short chains of subgroups
- Finite simple groups with short chains of subgroups