Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotropic nonarchimedean S-arithmetic groups are not left orderable   Let A = Z[c], where c is an irrational number whose square is rational, or
let A = Z[1/r], where r > 1 is a square-free natural number. We show that no
finite-index subgroup of SL(2,A) is left orderable. (Equivalently, these
subgroups have no nontrivial orientation-preserving actions on the real line.)
This implies that if G is an isotropic F-simple algebraic group over an
algebraic number field F, then no nonarchimedean S-arithmetic subgroup of G is
left orderable. Our proofs are based on the fact, proved by B.Liehl, that every
element of SL(2,A) is a product of a bounded number of elementary matrices.

22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph