Indecomposability for differential algebraic groups

Details Indecomposability for differential algebraic groups Indecomposability for differential algebraic groups

2011-06-03

arxiv.org/abs/1106.0695v2

Mathematics

Logic

16 pages, updated with typos corrected and slight notation changes

Scientific paper

We study a notion of indecomposability in differential algebraic groups. Then several examples are given and basic propositions are established. We compare this notion to other notions of indecomposability from both model theory and differential algebra. We prove an indecomposability theorem for differential algebraic groups. This theorem is used for various definability results. For instance, we show every nonabelian almost simple differential algebraic group is perfect, answering a question of Cassidy and Singer.

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