A new infinite family of star normal quotient graphs of twisted wreath type

2022/02/27 by Eda Kaja, Luke Morgan, Kaja, Eda +1
Mathematics · #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2202.13396

openalex publication_date 2022/02/27 · openalex created_date 2022/05/05 · openalex updated_date 2026/07/28

Abstract

We construct the first infinite families of locally arc transitive graphs with the property that the automorphism group has two orbits on vertices and is quasiprimitive on exactly one orbit, of twisted wreath type. This work contributes to Giudici, Li and Praeger's program for the classification of locally arc transitive graphs by showing that the star normal quotient twisted wreath category also contains infinitely many graphs.

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