Skip Navigation

The Quarterly Journal of Mathematics 2001 52(2):231-247; doi:10.1093/qjmath/52.2.231
© 2001 by Oxford University Press
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrow Search for citing articles in:
ISI Web of Science (1)
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Swiatkowski, J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

A Class of Automorphism Groups of Polygonal Complexes

Jacek Swiatkowski1

1 Instytut Matematyczny, Uniwersytet Wroclawski, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland. Email: swiatkow@math.uni.wroc.pl

In this paper we construct a class of groups together with their actions on certain spaces called polygonal complexes. We give a complete description of the class of all groups which act by automorphisms simply transitively on the oriented edges of non-positively curved polygonal complexes. This family of group actions is very natural from a geometrical viewpoint, being a kind of higher-dimensional analogue of the actions of groups on their Cayley graphs (which are simply transitive on vertices). The construction is based on the notion of a non-positively curved orbihedron and its fundamental group and generalizes the ideas of Ballmann and the author [2].


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.