M. Mixer

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20112026

most citedHighest rank of a polytope for

A_{n}

31 citations · 32 across the 8 of their papers we have counts for

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Showing 2016Show all

2 papers · 1 filter

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.GR2016★ 31 cited

Highest rank of a polytope for $A_{n}$

Peter J. Cameron, Maria Elisa Fernandes, Dimitri Leemans +1

We prove that the highest rank of a string C-group constructed from an alternating group $A l t_{n}$ is 0 if $n = 3, 4, 6, 7, 8$ ; 3 if $n = 5$ ; 4 if $n = 9$ ; 5 if $n = 10$ ; 6 if $n = 11$ ; and $\…

Internal and external duality in abstract polytopes

Highest rank of a polytope for An​

Highest rank of a polytope for $A_{n}$