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Keywords:
modular invariant; separating set; dihedral group
modular invariant; separating set; dihedral group
Summary:
Let $\mathbb {F}$ be an algebraically closed field of odd prime characteristic $p$. Using only transfers and norms, we describe a separating set for each indecomposable modular representation of the dihedral groups $D_{2p}$ over the field $\mathbb {F}$. Our construction is recursive and the size of every separating set depends only on the dimension of the representation.
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