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Abstract regular polytopes for the O’Nan group

par Connor, Thomas ;Leemans, Dimitri ;Mixer, Mark
Référence International journal of algebra and computation, 24, 1, page (59-68)
Publication Publié, 2014

Article révisé par les pairs

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Résumé :

In this paper, we consider how the O'Nan sporadic simple group acts as the automorphism group of an abstract regular polytope. In particular, we prove that there is no regular polytope of rank at least five with automorphism group isomorphic to O′N. Moreover, we classify all rank four regular polytopes having O′N as their automorphism group. © 2014 World Scientific Publishing Company.