String C-groups of order 1024


  • Yasushi Gomi Sophia University
  • Mark Loyola Ateneo de Manila University
  • Ma. Louise Antonette De Las Penas Ateneo de Manila University



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


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.

Author Biographies

Yasushi Gomi, Sophia University

Associate Professor, Department of Information and Communication Sciences

Mark Loyola, Ateneo de Manila University

Assistant Professor, Department of Mathematics

Ma. Louise Antonette De Las Penas, Ateneo de Manila University

Professor, Department of Mathematics


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