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Automorphism subgroups for designs with λ=1

2019/09/23 by William M. Kantor, Kantor, William M.
Engineering · Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems

paper · doi:10.48550/arxiv.1909.10126

openalex publication_date 2019/09/23 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

Given an integer k≥3 and a group G of odd order, if there exists a 2-(v,k,1)-design and if v is sufficiently large, then there is such a design whose automorphism group has a subgroup isomorphic to G. A weaker result is proved when |G| is even and (k,|G|)=1.

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