3 papers
math.GR2023
Matsuo algebras in characteristic 2
Tom De Medts, Mathias Stout
We extend the theory of Matsuo algebras, which are certain non-associative algebras related to 3-transposition groups, to characteristic 2. Instead of idempotent elements associate…
math.GR2022
City products of right-angled buildings and their universal groups
Jens Bossaert, Tom De Medts
We introduce the notion of city products of right-angled buildings that produces a new right-angled building out of smaller ones. More precisely, if is a right-angled Coxeter d…
math.GR2016
Local Moufang sets and local Jordan pairs
Tom De Medts, Erik Rijcken
In this paper, we extend the theory of special local Moufang sets. We construct a local Moufang set from every local Jordan pair, and we show that every local Moufang set satisfyin…