Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Grüninger, Matthias"'
Autor:
Grüninger, Matthias
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.
Externí odkaz:
http://arxiv.org/abs/2409.07445
We prove that the unipotent horocyclic group of a Moufang twin tree of prime order is nilpotent of class at most 2.
Externí odkaz:
http://arxiv.org/abs/1607.04475
Autor:
Grüninger, Matthias
Publikováno v:
Archiv der Mathematik : Volume 104, Issue 1 (2015), Page 11-24
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 required for quadratic Jordan division algebras.
Externí odkaz:
http://arxiv.org/abs/1409.1093
We prove that Moufang sets with abelian root groups arising at infinity of a locally finite tree all come from rank one simple algebraic groups over local fields.
Comment: 29 pages
Comment: 29 pages
Externí odkaz:
http://arxiv.org/abs/1406.5940
Autor:
Grüninger, Matthias
In this paper we prove that a multiplicative quadratic map between a unital ring $K$ and a field $L$ is induced by a homomorphism from $K$ into $L$ or a composition algebra over $L$. Especially we show that if $K$ is a field, then every multiplicativ
Externí odkaz:
http://arxiv.org/abs/1401.7265
We clarify the notion of effective equivalence and characterize geometrically the effectively equivalent permutation groups. In particular, we present examples showing that the latter do not correspond to affinely equivalent polytopes thereby answeri
Externí odkaz:
http://arxiv.org/abs/1301.2080
Autor:
Grüninger, Matthias
We consider a rank one group $G = \langle A,B \rangle $ which acts cubically on a module $V$, this means $[V,A,A,A] =0$ but $[V,G,G,G] \ne 0$. We have to distinguish whether the group $A_0 :=C_A([V,A]) \cap C_A(V/C_V(A))$ is trivial or not. We show t
Externí odkaz:
http://arxiv.org/abs/1106.2310
Suzuki classified all Zassenhaus groups of finite odd degree. He showed that such a group is either isomorphic to a Suzuki group or to $\PSL(2,q)$ with $q$ a power of $2$. In this paper we give another proof of this result using the language of Moufa
Externí odkaz:
http://arxiv.org/abs/1011.5836