It has an obvious analogue for a semisimple linear algebraic group G over an arbitrary field k: the group G is excellent if, for any field extension K of k, the anisotropic kernel of the K-group G = K can be defined by a k-group. The aim of this paper is to k investigate excellence properties of spe
Isotropic Trialitarian Algebraic Groups
โ Scribed by R.Skip Garibaldi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 259 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
By modifying a construction from Knus et al., we construct all isotropic algebraic groups of type 3 D and 6 D over an arbitrary field of characteristic / 2. We also 4 4 provide a nice isomorphism criterion for such groups. The results of this paper ลฝ . extend the main results of Allison using entirely different methods to fields of nonzero characteristic and algebraic groups.
๐ SIMILAR VOLUMES
He thanks both the CNR for its generous support and Roma II for its hospitality. The author also thanks Richard Mosak for reading an earlier version of the paper as well as the referee for a number of remarks which have smoothed out the exposition. 20
The object of this paper, which is the first in a series of three, is to lay the foundations of the theory of ideals and algebraic sets over groups. แฎ 1999 Aca- demic Press CONTENTS 1. Introduction. 1.1. Some general comments. 1.2. The category of G-groups. 1.3. Notions from commutative algebra. 1.4
There are several examples of groups for which any pair of commutators can be written such that both of them have a common entry, and one can look for a similar property for n-tuples of commutators. Here we answer, for simple algebraic groups over any field, the weaker question, under which conditio
The general problem underlying this article is to give a qualitative classification ลฝ . of all compact subgroups โซ ; GL F , where F is a local field and n is arbitrary. It is natural to ask whether โซ is an open compact subgroup of H E , where H is a linear algebraic group over a closed subfield E ;