String C-group representations of alternating groups

Maria Elisa Fernandes, Dimitri Leemans

Abstract


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.


Keywords


Abstract regular polytopes, Coxeter groups, alternating groups, string C-groups

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DOI: https://doi.org/10.26493/1855-3974.1953.c53

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications