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math.GR2026
String C-groups of 2-power order project onto a common string C-group
Dong-Dong Hou, Egon Schulte
String C-groups are precisely the automorphism groups of abstract regular polytopes. A certain regular d-polytope C_d with an automorphism group of order 2^{2d-1}, discovered by Co…
math.GR2025
Symmetric polytopes whose automorphism groups are 2-groups
Gabriel Cunningham, Yan-Quan Feng, Dong-Dong Hou +1
The present work investigates regular, semiregular, and chiral polytopes of any rank , whose automorphism groups are 2-groups. There is a large variety of rather small fin…