%0 Journal Article %T Equivalence groupoids of classes of linear ordinary differential equations and their group classification %A Vyacheslav M. Boyko %A Roman O. Popovych %A Nataliya M. Shapoval %J Mathematics %D 2014 %I arXiv %R 10.1088/1742-6596/621/1/012002 %X Admissible point transformations of classes of $r$th order linear ordinary differential equations (in particular, the whole class of such equations and its subclasses of equations in the rational form, the Laguerre-Forsyth form, the first and second Arnold forms) are exhaustively described. Using these results, the group classification of such equations is revisited within the algebraic approach in three different ways. %U http://arxiv.org/abs/1403.6062v2