Adam Chapman

collaborators

2 papers

math.AC2017

The $u^{n}$ -invariant and the Symbol Length of $H_{2}^{n} (F)$

Adam Chapman, Kelly McKinnie

Given a field $F$ of $char (F) = 2$ , we define $u^{n} (F)$ to be the maximal dimension of an anisotropic form in $I_{q}^{n} F$ . For $n = 1$ it recaptures the definition of $u(F)…

math.RA2015

Common subfields of p-algebras of prime degree

Adam Chapman

We show that if two division $p$ -algebras of prime degree share an inseparable field extension of the center then they also share a cyclic separable one. We show that the converse…

The un-invariant and the Symbol Length of H2n​(F)

Common subfields of p-algebras of prime degree

The $u^{n}$ -invariant and the Symbol Length of $H_{2}^{n} (F)$