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Title: Highly symmetric hypertopes
Author: Fernandes, Maria Elisa
Leemans, Dimitri
Weiss, Asia
Keywords: Regularity
Thin geometries
Abstract polytopes
Issue Date: Oct-2016
Publisher: Springer
Abstract: We study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the polytopes theory, we introduce the concept of chirality, a property of orderly asymmetry occurring frequently in nature as a natural phenomenon. The main result in this paper is that automorphism groups of regular and chiral thin residually connected geometries need to be C-groups in the regular case and C+-groups in the chiral case.
Peer review: yes
DOI: 10.1007/s00010-016-0431-1
ISSN: 0001-9054
Appears in Collections:CIDMA - Artigos
AGG - Artigos

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