Three infinite families of chiral 4-polytopes with symmetric automorphism groups

In this paper, we give three infinite families of chiral 4-polytopes, with the automorphism group of each member of a family being symmetric. This construction is based on the construction depicted in Conder et al. (J Algebr Combin 42:225–244, 2015), but with various preassigned facets for polytopes...

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Bibliographic Details
Published inJournal of algebraic combinatorics Vol. 57; no. 2; pp. 421 - 438
Main Author Zhang, Wei-Juan
Format Journal Article
LanguageEnglish
Published New York Springer US 01.03.2023
Springer Nature B.V
Subjects
Automorphisms
Combinatorics
Computer Science
Convex and Discrete Geometry
Group Theory and Generalizations
Lattices
Mathematics
Mathematics and Statistics
Order
Ordered Algebraic Structures
Polytopes
Symmetric groups
Chiral 4-polytopes
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Summary:In this paper, we give three infinite families of chiral 4-polytopes, with the automorphism group of each member of a family being symmetric. This construction is based on the construction depicted in Conder et al. (J Algebr Combin 42:225–244, 2015), but with various preassigned facets for polytopes in distinct families, and with the degree of symmetric automorphism groups of members in each family growing linearly with the last entry of its type (Schläfli symbol).
ISSN:0925-9899
1572-9192
DOI:10.1007/s10801-022-01210-6