2 papers
math.GR2026
The hypercenter of an algebraic group
Damian Sercombe
We show that any connected algebraic group over a field admits a nilpotent normal subgroup such that the quotient has trivial center. We construct…
math.GR2026
Maximal toroids and Cartan subgroups of algebraic groups
Damian Sercombe
We introduce a unified theory of Cartan subgroups and maximal toroids - defined as connected multiplicative type subgroups that are maximal amongst all such subgroups - which holds…