Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8895927 | Journal of Algebra | 2018 | 21 Pages |
Abstract
We give presentations for the C-groups of rank nâ1 of the symmetric group Sn. We also classify C-groups of rank nâ2 for Sn. We show that all these C-groups correspond to regular hypertopes, that is, thin, residually connected flag-transitive geometries. Therefore we generalise some similar results obtained in the framework of string C-groups that are in one-to-one correspondence with abstract regular polytopes.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Maria Elisa Fernandes, Dimitri Leemans,