Adam Chapman

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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 $A = ω \otimes β_{1} \otimes \dots \otimes β_{n}$ in $H_{p^{m}}^{n + 1} (F)$ is of exponent dividing $p^{m - 1}$ , then its s…

math.RA2024

Spaces with Vanishing Characteristic Coefficients

Adam Chapman

We prove that the maximal dimension of a subspace $V$ of the generic tensor product of $m$ symbol algebras of prime degree $p$ with $Tr (v^{p - 1}) = 0$ for all $v \in V$ …

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

Spaces with Vanishing Characteristic Coefficients

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