Designs and codes from basic 3-transpositions

DOI10.1007/S41980-021-00673-WOpenAlexW4205976434MaRDI QIDQ2081682

Jamshid Moori

Publication date: 30 September 2022

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-021-00673-w

zbMATH Keywords

sporadic groupssymmetric groupsdesignssimple groupscodes3-transposition groupsFischer groupsbasic transposition commuting sets

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Simple groups: sporadic groups (20D08) Other types of codes (94B60) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06)

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Cites Work

• On the automorphisms of designs constructed from finite simple groups
• Some designs and codes invariant under the Tits group
• On the automorphism group of the group \(D_ 4(\)2)
• A design and a code invariant under the simple group \(Co_ 3\)
• Some designs and codes invariant under the simple group Co\(_{2}\)
• Finite groups generated by 3-transpositions. I
• On Certain Groups associated with the Smallest Fischer Group
• Constructing some designs invariant underPSL₂(q),qeven
• Designs and codes from fixed points of elements of Janko simple group J₁
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