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- W2962996759 abstract "We prove that the maximal dimension of a $p$-central subspace of the generic symbol $p$-algebra of prime degree $p$ is $p+1$. We do it by proving the following number theoretic fact: let ${s_1,dots,s_{p+1}}$ be $p+1$ distinct nonzero elements in the additive group $G=(mathbb{Z}/p mathbb{Z}) times (mathbb{Z}/p mathbb{Z})$; then every nonzero element $g in G$ can be expressed as $d_1 s_1+dots+d_{p+1} s_{p+1}$ for some non-negative integers $d_1,dots,d_{p+1}$ with $d_1+dots+d_{p+1} leq p-1$." @default.
- W2962996759 created "2019-07-30" @default.
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- W2962996759 date "2016-07-18" @default.
- W2962996759 modified "2023-09-27" @default.
- W2962996759 title "Symbol $p$-Algebras of Prime Degree and their $p$-Central Subspaces" @default.
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