Designs and codes from fixed points of finite groups

DOI10.1080/00927872.2020.1817468zbMath1490.05019OpenAlexW3127577268MaRDI QIDQ5148567

Jamshid Moori

Publication date: 4 February 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2020.1817468

zbMATH Keywords

fixed pointsconjugacy classessporadic groupsmaximal subgroupsdesignssimple groupscodes

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Simple groups: sporadic groups (20D08) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite simple groups and their classification (20D05) Combinatorial codes (94B25)

Related Items (3)

Designs and codes from fixed points of alternating groups ⋮ Designs and codes from involutions of A_n ⋮ Designs and codes from fixed points of elements of Janko simple group J₁

Uses Software

• Magma

Cites Work

• On some transitive combinatorial structures constructed from the unitary group \(U(3,3)\)
• On the automorphisms of designs constructed from finite simple groups
• Some designs and codes invariant under the Tits group
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Codes with prescribed permutation group
• A design and a code invariant under the simple group \(Co_ 3\)
• Designs from maximal subgroups and conjugacy classes of Ree groups
• Some designs and codes invariant under the simple group Co\(_{2}\)
• Binary codes derived from the Hoffman-Singleton and Higman-Sims graphs
• Constructing some designs invariant underPSL₂(q),qeven
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