3 papers
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
The subgroup structure of pseudo-reductive groups
Michael Bate, Ben Martin, Gerhard Röhrle +1
Let be a field. We investigate the relationship between subgroups of a pseudo-reductive -group and its maximal reductive quotient , with applications to the subgroup…
math.GR2024
On good subgroups, Springer maps, and overgroups of distinguished unipotent elements in reductive groups
Michael Bate, Sören Böhm, Benjamin Martin +1
Suppose is a simple algebraic group defined over an algebraically closed field of good characteristic . In 2018 Korhonen showed that if is a connected reductive subgroup…