Subgroups of the orthogonal groups of even degree over a~local field
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 240-250
Voir la notice de l'article provenant de la source Math-Net.Ru
In this paper, we obtain the description of subgroups of orthogonal linear groups $\operatorname{SO}(2l,K)$ and $\operatorname{GO}(2l,K)$ over the field of fractions $K$ of a local principal ideal domain $R$
containing the maximal split tori $T=T(2l,R)$ with entries from $R$. Similar result for overgroups $T$ in case of semilocal ring and field was obtained earlier by N. Vavilov. Result of the present paper generalizes also some known results.
@article{ZNSL_2005_321_a12,
author = {K. Yu. Lavrov},
title = {Subgroups of the orthogonal groups of even degree over a~local field},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {240--250},
publisher = {mathdoc},
volume = {321},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a12/}
}
K. Yu. Lavrov. Subgroups of the orthogonal groups of even degree over a~local field. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 12, Tome 321 (2005), pp. 240-250. http://geodesic.mathdoc.fr/item/ZNSL_2005_321_a12/