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Algebraic varieties with group operations given by morphisms, or group objects in the category of algebraic varieties, the category of algebraic schemes, or closely related categories.

2 votes
1 answer
333 views

Subgroup containing a given torus as a maximal torus

Let T be a non-trivial torus in a semisimple group G of adjoint type defined over Q. I was wondering whether there exists a reductive subgroup H of G (defined over Q !) such that T is a maximal torus …
user41972's user avatar
5 votes
1 answer
870 views

Zariski dense subgroups of linear algebraic groups

The theorem of Matthews, Vaserstein and Weisfeiler asserts that if $G$ is a simply connected absolutely almost simple groups over $Q$ and $\Gamma$ a finitely generated subgroup of $G(Q)$ which is Zari …
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