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math.CA2010★ 4 cited
A Jordan-Hoelder Theorem for Differential Algebraic Groups
Phyllis J. Cassidy, 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…
math.CA2005★ 50 cited
Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups
Phyllis J. Cassidy, Michael F. Singer
We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entrie…