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null (Ed.)We solve the inverse differential Galois problem over differential fields with a large field of constants of infinite transcendence degree over $$\mathbb{Q}$$ . More generally, we show that over such a field, every split differential embedding problem can be solved. In particular, we solve the inverse differential Galois problem and all split differential embedding problems over $$\mathbb{Q}_{p}(x)$$ .more » « less
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