Rotary maps on symmetric groups of prime degree

Hao Hai Suo and Shu Jiao Song

Applied Mathematics and Computation, 2024, vol. 469, issue C

Abstract: Let p be a prime greater than 3. In this paper we showed that a nonsolvable transitive permutation group of degree p containing an odd permutation is equal to the symmetric group Sp. This answered the question proposed by Ito (1963) [8]. Then we studied the generators of Sp and gave the number of rotary maps up to isomorphism. The rotary maps here are of valency p and have automorphism group Sp.

Keywords: Rotary maps; Flag-regular maps; Chiral maps; Symmetric groups (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:469:y:2024:i:c:s0096300324000055

DOI: 10.1016/j.amc.2024.128533

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