The canonical form theorem, applied to a certain group of symmetry transformations of certain Fuchsian equations, leads automatically to the integration of them. The result can be extended to any n-order differential equation possesing a certain pointlike group of symmetries with a maximal abelian Lie-subgroup of order c.
@article{urn:eudml:doc:39775,
title = {Symmetries and solvability of linear differential equations.},
journal = {Revista Matem\'atica Hispanoamericana},
volume = {40},
year = {1980},
pages = {12-16},
zbl = {0498.34004},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:39775}
}
Boya, Luis Joaquín; González-Gascón, F. Symmetries and solvability of linear differential equations.. Revista Matemática Hispanoamericana, Tome 40 (1980) pp. 12-16. http://gdmltest.u-ga.fr/item/urn:eudml:doc:39775/