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Affine subspaces of units in simple algebras

Pazzis, Clément de Seguins
arXiv (All) · Papers
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rings-and-algebras
Let $A$ be a simple algebra over a field $F$. Under a mild cardinality assumption on $F$, we determine the greatest possible dimension for an $F$-affine subspace of $A$ that is included in the group of units $A^\times$, and we describe the spaces that have the greatest possible dimension. This is eq
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