3 citations · 4 across the 4 of their papers we have counts for
5 papers
Special Moufang sets of finite dimension
Matthias Grüninger
We prove that a special Moufang sets with abelian root subgroups derive from a quadratic Jordan division algebra if a certain finiteness condition is satisfied.
Moufang Twin Trees of prime order
Matthias Grüninger, Max Horn, Bernhard Mühlherr
We prove that the unipotent horocyclic group of a Moufang twin tree of prime order is nilpotent of class at most 2.
On the axioms defining a quadratic Jordan division algebra
Matthias Grüninger
Quadratic Jordan algebras are defined by identities that have to hold strictly, i.e that continue to hold in every scalar extension. In this paper we show that strictness is not re…
Multiplicative quadratic maps
Matthias Grüninger
In this paper we prove that a multiplicative quadratic map between a unital ring and a field is induced by a homomorphism from into or a composition algebra over $L…
On cubic action of a rank one group
Matthias Grüninger
We consider a rank one group which acts cubically on a module , this means but . We have to distinguish whether the gr…