Geodesic
Solvable-by-finite subgroups of GL(2, F)
Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 45-48

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent paper [5] Tits proves that a linear group over a field of characteristic zero is either solvable-by-finite or else contains a non-cyclic free subgroup. In this note we determine all the infinite irreducible solvable-by-finite subgroups of GL(2, F), where F is an algebraically closed field of characteristic zero. (Every reducible subgroup of GL(2, F) is metabelian.) In addition, we prove that an irreducible subgroup of GL(2, F) has an irreducible solvable-by-finite subgroup if and only if it contains an element of zero trace. 
Majeed, Abdul; Mason, A. W. Solvable-by-finite subgroups of GL(2, F). Glasgow mathematical journal, Tome 19 (1978) no. 1, pp. 45-48. doi: 10.1017/S0017089500003359
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