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Groups contained between groups of lie type over various fields

✍ Scribed by Ya. N. Nuzhin

Publisher
Springer US
Year
1983
Tongue
English
Weight
862 KB
Volume
22
Category
Article
ISSN
0002-5232

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πŸ“œ SIMILAR VOLUMES

Quadratic representations for groups of
Quadratic representations for groups of Lie type over fields of characteristic two
✍ Timothy Englund πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 427 KB

Suppose K is a field of characteristic two, G is a group of Lie type over K, and V is an irreducible KG-module. By the Steinberg Tensor Product Theorem, V ∼ = i∈I V i , where each V i is an algebraic conjugate of a restricted KG-module. If G contains a quadratically acting fours-group, then |I | 2.

Unipotent elements of finite groups of L
Unipotent elements of finite groups of Lie type and realization fields of their complex representations
✍ Pham Huu Tiep; A.E. ZalesskiΔ±Μ† πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 720 KB

Let p be a prime. This paper classifies finite connected reductive groups G in characteristic p with the property that all complex character values of G belong to an unramified above p extension of the field of rational numbers. The main application of these results is to the problem of describing t