Adam Chapman

activity

20112024

most citedA Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos

78 citations · 165 across the 30 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.RA2020

Common Splitting Fields of Symbol Algebras

Adam Chapman, Mathieu Florence, Kelly McKinnie

We study the common splitting fields of symbol algebras of degree $p^{m}$ over fields $F$ of $char (F) = p$ . We first show that if any finite number of such algebras shar…

math.RA2020★ 3 cited

Fixed Points of Polynomials over Division Rings

Adam Chapman, Solomon Vishkautsan

We study the discrete dynamics of standard (or left) polynomials $f (x)$ over division rings $D$ . We define their fixed points to be the points $λ \in D$ for which $f^{\circ n} (λ) = λ$ …

math.RA2020

Factoring Octonion Polynomials

Adam Chapman

We provide an analogue of Wedderburn's factorization method for central polynomials with coefficients in an octonion division algebra, and present an algorithm for fully factoring…