The transitive groups of degree 48 and some applications

DOI10.1016/j.jalgebra.2021.06.018OpenAlexW3174685863MaRDI QIDQ2153317

Gareth M. Tracey, Derek F. Holt, Gordon F. Royle

Publication date: 4 July 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.07183

zbMATH Keywords

enumerationvertex-transitive graphtransitive groupgenerator number

Mathematics Subject Classification ID

Group theory and generalizations (20-XX) Associative rings and algebras (16-XX)

Related Items (3)

Rank three innately transitive permutation groups and related 2-transitive groups ⋮ Stronger arithmetic equivalence ⋮ A census of small Schurian association schemes

Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

• Unnamed Item
• On vertex symmetric digraphs
• The Magma algebra system. I: The user language
• Minimal generation of transitive permutation groups
• The transitive groups of degree twelve
• The expected number of random elements to generate a finite group.
• Asymptotic results for primitive permutation groups and irreducible linear groups.
• A census of small transitive groups and vertex-transitive graphs
• Edge-transitive graphs of small order and the answer to a 1967 question by Folkman
• Constructing transitive permutation groups.
• Further restrictions on the structure of finite CI-groups
• On the action of non-Abelian groups on graphs
• The Primitive Permutation Groups of Degree Less Than 4096
• The Transitive Permutation Groups of Degree 32
• GENERATING TRANSITIVE PERMUTATION GROUPS
• A graph which is edge transitive but not arc transitive
• Asymptotic Results for Transitive Permutation Groups
• Finding the smallest image of a set
• A MILLENNIUM PROJECT: CONSTRUCTING SMALL GROUPS

This page was built for publication: The transitive groups of degree 48 and some applications