Highest rank of a polytope for An

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...

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Bibliographic Details
Main Author: Cameron, Peter (author)
Other Authors: Leemans, Dimitri (author), Mixer, Mark (author), Fernandes, Maria Elisa (author)
Format: article
Language:eng
Published: 2018
Subjects:
Abstract Regular Polytopes
String C-Groups
Alternating Groups
Permutation Groups
Online Access:http://hdl.handle.net/10773/18271
Country:Portugal
Oai:oai:ria.ua.pt:10773/18271

Internet

http://hdl.handle.net/10773/18271

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