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- W4288643403 abstract "Given a field $F$ of characteristic $3$ and division symbol $p$-algebras $[alpha,beta)_{3,F}$ and $[alpha,gamma)_{3,F}$ of degree $3$ over $F$, we prove that if $alpha text{dlog}(beta)wedge text{dlog}(gamma)$ is trivial in the Kato-Milne cohomology group $H_3^3(F)$ then the algebras share a common splitting field which is an inseparable degree 3 extension of either $F$ or a quadratic extension of $F$. In the special case of quadratically closed fields, if $alpha text{dlog}(beta)wedge text{dlog}(gamma)=0$, then they share an inseparable degree 3 extension of $F$." @default.
- W4288643403 created "2022-07-30" @default.
- W4288643403 creator A5085836470 @default.
- W4288643403 date "2019-01-02" @default.
- W4288643403 modified "2023-09-26" @default.
- W4288643403 title "Linkage of Symbol $p$-Algebras of Degree 3" @default.
- W4288643403 doi "https://doi.org/10.48550/arxiv.1901.00358" @default.
- W4288643403 hasPublicationYear "2019" @default.
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