Existence of regular 3-hypertopes with 2ⁿ chambers

2019/01/23 by Hou, Dong-Dong, Feng, Yan-Quan, Leemans, Dimitri · 1 citation
#20B25 #20D15 #52B15 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1901.09034

Abstract

For any positive integers n, s, t, l such that n ≥ 10, s, t ≥ 2, l ≥ 1 and n ≥ s+t+l, a new infinite family of regular 3-hypertopes with type (2^s, 2^t, 2^l) and automorphism group of order 2ⁿ is constructed.

Cited by

• Symmetric polytopes whose automorphism groups are 2-groups

Related

• Regular 3-polytopes of type \n,n\
• On regular polytopes of order 2ⁿ
• A family of regular polytopes of order 4p^m with type \p, 2p\
• 2-groups behaving as automorphism groups of regular 3-polytopes
• Regular 3-polytopes of order 2ⁿp