Mar29 comment Non existence of cyclic infinite linear algebraic groups @Starr: another thing. The norm map is not like a valuation map. It rarely specializes, at the level of $L^*$ into $k^*$, as a map of $T'(k)$ onto $\mathbb Z$ Mar29 comment Non existence of cyclic infinite linear algebraic groups @Starr; No, that is not what I am doing. There is a finite kernel map from $T'$ into the anisotropic torus $T$ and a surjection from the anisotropic torus to $R^1({\mathbb G}_m=T'$; this implies that the group of norm one elements (if we assume $G(k)=\mathbb Z$) in $l^*$ is also $\mathbb Z$ up to finite kernel and cokernel; that is impossible. Mar29 comment Non existence of cyclic infinite linear algebraic groups @Cornulier, Any such torus maps onto a torus f the form $T'=R^1_{l/k}({\mathbb G}_m$, and contains such an anisotropic torus $T'$. We need only prove it when $T'=T$, and this is really like the case $k^*$ (with a little more work. Mar29 revised Non existence of cyclic infinite linear algebraic groups added 603 characters in body Mar29 comment Non existence of cyclic infinite linear algebraic groups @Jason,thank you. All I am saying is that over $K$, the group is a product of mult and add groups (not over the smaller field $k$). The group of $k$ rational points, in case add factors are involved, cannot be $\mathbb Z$; in case only mult factors are involved, we will have to use that such a group, after multiplying by a suitable product of $R_{l/k}({\mathbb G }_m$, where $R$ iw thw Weil restriction of scalars. Mar28 reviewed Approve suggested edit on If y forms Pythagorean triples with two different x, can some other y also form Pythagorean triples with those two x? Mar28 revised Non existence of cyclic infinite linear algebraic groups edited body Mar28 revised Non existence of cyclic infinite linear algebraic groups gave some more detailsof the proof Mar28 answered Non existence of cyclic infinite linear algebraic groups Mar23 reviewed Approve suggested edit on Holomorphic vector field on Fano Kähler–Einstein manifold Mar14 answered Automorphism group of flag manifolds? Mar7 revised Does there exist a function such that $\int_{\mathbb{R}_+^{\star} } t^nf(t)dt=0$? deleted 1 characters in body Mar6 reviewed Approve suggested edit on Erdős-Straus with 4 terms Mar3 comment Root space decomposition This is discussed in Helgason's book on symmetric spaces. Feb23 answered abelian varieties with the same CM type are isogenous Feb18 reviewed Approve suggested edit on Twin Prime Conjecture Reference Feb14 awarded Custodian Feb14 reviewed Approve suggested edit on Examples of non-split algebraic groups Jan27 comment Convergence of a Trigonometric Series @Ethan,I think you should change it, stating what it is that you want; as it stands, Noam Elkies has answered the question. Jan26 revised Irreducible representations of compact groups added 134 characters in body