Elementary properties of linear and algebraic groups
โ Scribed by E. I. Bunina; A. V. Mikhalev
- Book ID
- 110334052
- Publisher
- Springer US
- Year
- 2002
- Tongue
- English
- Weight
- 510 KB
- Volume
- 110
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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 ;
We introduce the notion of a minimal extension of t-groups. Linear independence of the coordinates of the logarithm of an algebraic point in a minimal extension of t-groups follows naturally from linear independence of the coordinates of the image in the tangent space of the base t-group. We illustr