K. McKinnie

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math.RA2026

Essential Dimension of Central Simple Algebras when the Characteristic is Bad

Adam Chapman, Kelly McKinnie

This is a survey of the existing literature, the state of the art, and a few minor new results and open questions regarding the essential dimension of central simple algebras and f…

math.RA2024

Classes in $H_{p^{m}}^{n + 1} (F)$ of lower exponent

Adam Chapman, Daniel Krashen, Kelly McKinnie

Let $F$ be a field of characteristic $p > 0$ . We prove that if a symbol $A = I ¨ \otimes I^_{1}^{2} \otimes \dots \otimes I^_{n}^{2}$ in $H_{p^{m}}^{n + 1} (F)$ is of exponent dividing $p^{m - 1}$ , then it…

Essential Dimension of Central Simple Algebras when the Characteristic is Bad

Classes in Hpmn+1​(F) of lower exponent

Classes in $H_{p^{m}}^{n + 1} (F)$ of lower exponent