Geodesic
String C-group representations of alternating groups
Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 291-310.

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We prove that for any integer n ≥ 12, and for every r in the interval [3, …, ⌊(n − 1) / 2⌋], the group An has a string C-group representation of rank r, and hence that the only alternating group whose set of such ranks is not an interval is A11.
DOI : 10.26493/1855-3974.1953.c53
Keywords: Abstract regular polytopes, Coxeter groups, alternating groups, string C-groups 
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Maria Elisa Fernandes; Dimitri Leemans. String C-group representations of alternating groups. Ars Mathematica Contemporanea, Tome 17 (2019) no. 1, pp. 291-310. doi : 10.26493/1855-3974.1953.c53. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1953.c53/

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