Zobrazeno 1 - 10
of 779
pro vyhledávání: '"51E24"'
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
Autor:
Loué, Alex
A triangle presentation is a combinatorial datum that encodes the action of a group on a $2$-dimensional triangle complex with prescribed links, which is simply transitive on the vertices. We provide the first infinite family of triangle presentation
Externí odkaz:
http://arxiv.org/abs/2408.15763
Autor:
Busch, Sira, Van Maldeghem, Hendrik
We consider any classical Grassmannian geometry $\Gamma$, that is, any projective or polar Grassmann space. Suppose lines have size s + 1. Then we classify all sets of size s + 1 with the property that no object of opposite type in the corresponding
Externí odkaz:
http://arxiv.org/abs/2408.02413
Autor:
Bischof, Sebastian
In this paper we prove that an RGD-system over $\mathbb{F}_2$ with prescribed commutation relations exists if and only if the commutation relations are Weyl-invariant and can be realized in the group $U_+$. This result gives us a machinery to produce
Externí odkaz:
http://arxiv.org/abs/2407.15503
We determine the exact structure and action of Levi subgroups of parabolic subgroups of groups of Lie type related to thick, irreducible, spherical buildings of simply laced type. Therefore we introduce the special and general projectivity groups att
Externí odkaz:
http://arxiv.org/abs/2407.09226
Given a residually connected incidence geometry $\Gamma$ that satisfies two conditions, denoted $(B_1)$ and $(B_2)$, we construct a new geometry $H(\Gamma)$ with properties similar to those of $\Gamma$. This new geometry $H(\Gamma)$ is inspired by a
Externí odkaz:
http://arxiv.org/abs/2405.19050
Autor:
Stadler, Stephan
We characterize higher rank model geometries -- Riemannian symmetric spaces, Euclidean buildings and products -- among Hadamard spaces by using antipodal sets at infinity.
Comment: arXiv admin note: text overlap with arXiv:2212.07092
Comment: arXiv admin note: text overlap with arXiv:2212.07092
Externí odkaz:
http://arxiv.org/abs/2405.16238
We define equivariant Chern classes of a toric vector bundle over a proper toric scheme over a DVR. We provide a combinatorial description of them in terms of piecewise polynomial functions on the polyhedral complex associated to the toric scheme, wh
Externí odkaz:
http://arxiv.org/abs/2402.18712
Recently, Leemans and Stokes constructed an infinite family of incidence geometries admitting trialities but no dualities from the groups PSL(2,q) (where $q=p^{3n}$ with $p$ a prime and $n>0$ a positive integer). Unfortunately these geometries are no
Externí odkaz:
http://arxiv.org/abs/2311.13522
Autor:
Pasechnik, Dmitrii V.
According to a computer search conducted by the author and described in [7], in $Q^+(6, 4)$ there are two types of hyperovals, having 72 and 96 points, respectively. Here we give geometric descriptions for these examples.
Comment: 3 pages, LaTeX
Comment: 3 pages, LaTeX
Externí odkaz:
http://arxiv.org/abs/2308.15585