String C-groups of order 1024

Yasushi Gomi, Mark Loyola, Ma. Louise Antonette De Las Penas


This paper determines the non-degenerate string C-groups of order
1024. For groups of rank 3, we use the technique of central extension of
string C-groups of order 512. For groups of rank at least 4, we compute for
quotients of universal string C-groups.


string C-groups, abstract regular polytopes, order 1024, 2-groups

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