Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18271| Title: | Highest rank of a polytope for An |
| Author: | Cameron, Peter Leemans, Dimitri Mixer, Mark Fernandes, Maria Elisa |
| Keywords: | Abstract Regular Polytopes String C-Groups Alternating Groups Permutation Groups |
| Issue Date: | 2017 |
| Publisher: | London Mathematical Society |
| Abstract: | We prove that the highest rank of a string C-group constructed from an alternating group An is 3 if n = 5; 4 if n = 9; 5 if n = 10; 6 if n = 11; and the floor of of (n-1)/2 if n>=12. Moreover, if n = 3; 4; 6; 7 or 8, the group An is not a string C-group. This solves a conjecture made by the last three authors in 2012. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/18271 |
| DOI: | 10.1112/plms.12039 |
| ISSN: | 0024-6115 |
| Appears in Collections: | CIDMA - Artigos AGG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 2017CFLM.pdf | Documento Principal | 586.75 kB | Adobe PDF | View/Open |
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