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 SizeFormat 
2016DFW.pdfDocumento Principal336.46 kBAdobe PDFView/Open


FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.