Adam Chapman

collaborators

2 papers

math.KT2026

Sums of two symbols in $K_{2} (F) /2 K_{2} (F)$ in characteristic two

Demba Barry, Adam Chapman, Ahmed Laghribi

In this paper, study sums $A = {a, b}_{2} + {c, d}_{2}$ of two symbols in $K_{2} (F) /2 K_{2} (F)$ when $char (F) = 2$ . We first prove a chain lemma that connects $A$ to $B=\{α,β\}_2…

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…

Sums of two symbols in K2​(F)/2K2​(F) in characteristic two

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

Sums of two symbols in $K_{2} (F) /2 K_{2} (F)$ in characteristic two

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