Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16681
Title: | Highly symmetric hypertopes |
Author: | Fernandes, Maria Elisa Leemans, Dimitri Weiss, Asia |
Keywords: | Regularity Chirality Thin geometries Hypermaps 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 |
URI: | http://hdl.handle.net/10773/16681 |
DOI: | 10.1007/s00010-016-0431-1 |
ISSN: | 0001-9054 |
Appears in Collections: | CIDMA - Artigos AGG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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2016DFW.pdf | Documento Principal | 336.46 kB | Adobe PDF | View/Open |
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