Buildings and Non-positively Curved Polygons of Finite Groups
نویسنده
چکیده
Let P be a non positively curved polygon of nite groups The group P acts on a contractible complex XP and we prove that this complex is a building if and only if the links have angular diameter When P has zero group theoretic curvature a geometric argument shows that the periodic apartments are dense in the set of all apartments
منابع مشابه
Controlled embeddings into groups that have no non-trivial finite quotients
If a class of finitely generated groups G is closed under isometric amalgamations along free subgroups, then every G ∈ G can be quasi-isometrically embedded in a group Ĝ ∈ G that has no proper subgroups of finite index. Every compact, connected, non-positively curved space X admits an isometric embedding into a compact, connected, non-positively curved space X such that X has no non-trivial fin...
متن کاملLoad Test and Model Calibration of a Horizontally Curved Steel Box-Girder Bridge
In this paper, full scale load test of a horizontally curved steel box-girder bridge is carried out in order to detect structural defects, which reportedly result in unwanted vibrations in nearby buildings. The bridge is tested under the passage of six heavy vehicles at different speeds, so as to determine its static and dynamic responses. A total number of one hundred and two (102) sensors are...
متن کاملInfluence of initial spatial layout on seismic behavior of masonry buildings with curved roof systems
Early design decisions made on building configuration and spatial design affect seismic behavior of buildings. Therefore introducing design guidelines and empirical methods implemented to assess seismic behavior of buildings have been proposed as an appropriate approach. Such concept helps architects to take into the consideration that how their preliminary design decisions influence downstream...
متن کاملGrowth of Certain Non-positively Curved Cube Groups
• Coxeter groups with respect to the standard generating set [5, p. 45, Exercise 26], the argument being that of Solomon [18]; • virtually abelian groups with respect to any generating set [4]; • two-step nilpotent groups with infinite cyclic commutator subgroup with respect to some generating set [19]. (On the other hand, it is shown in [19] that if G has Heisenberg rank at least 2, then G has...
متن کاملIsometric embedding of Busemann surfaces into L1
In this note, we prove that any non-positively curved 2-dimensional surface (alias, Busemann surface) is isometrically embeddable into L1. As a corollary, we obtain that all planar graphs which are 1skeletons of planar non-positively curved complexes with regular Euclidean polygons as cells are L1-embeddable with distortion at most 2 + π/2 < 4. Our results significantly improve and simplify the...
متن کامل