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math.GR2016
Internal and external duality in abstract polytopes
Gabe Cunningham, Mark Mixer
We define an abstract regular polytope to be internally self-dual if its self-duality can be realized as one of its symmetries. This property has many interesting implications on t…
math.GR2014★ 1 cited
String C-groups as transitive subgroups of Sym(n)
Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans +1
If is a string C-group which is isomorphic to a transitive subgroup of the symmetric group Sym(n) (other than Sym(n) and the alternating group Alt(n)), then the rank of is…