Benjamin Martin

collaborators

3 papers

math.RT2025

$G$ -complete reducibility and saturation

Michael Bate, SÃ¶ren BÃ¶hm, Alastair Litterick +2

Let $H \subseteq G$ be connected reductive linear algebraic groups defined over an algebraically closed field of characteristic $p > 0$ . In our first main theorem we show that if a…

math.GT2024

Essential tori in 3-manifolds not detected in any characteristic

Grace S. Garden, Benjamin Martin, Stephan Tillmann

Infinite families of 3-dimensional closed graph manifolds and closed Seifert fibered spaces are exhibited, each member of which contains an essential torus not detected by ideal po…

math.GR2024

On good $A_{1}$ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

Michael Bate, SÃ¶ren BÃ¶hm, Benjamin Martin +1

Suppose $G$ is a simple algebraic group defined over an algebraically closed field of good characteristic $p$ . In 2018 Korhonen showed that if $H$ is a connected reductive subgroup…

G-complete reducibility and saturation

Essential tori in 3-manifolds not detected in any characteristic

On good A1​ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups

$G$ -complete reducibility and saturation

On good $A_{1}$ subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups