A Jordan-Hölder Theorem for Differential Algebraic Groups

  title={A Jordan-H{\"o}lder Theorem for Differential Algebraic Groups},
  author={Phyllis J. Cassidy and Michael F. Singer},
We show that a differential algebraic group can be filtered by a finite subnormal series of differential algebraic groups such that successive quotients are almost simple, that is have no normal subgroups of the same type. We give a uniqueness result, prove several properties of almost simple groups and, in the ordinary differential case, classify almost simple linear differential algebraic groups. 
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