Symmetric 1-designs from PGL2(q), for q an odd prime power

DOI10.3336/gm.56.1.01zbMath1476.05017OpenAlexW3177106482MaRDI QIDQ5159353

Bernardo Gabriel Rodrigues, Xavier Mbaale

Publication date: 27 October 2021

Published in: Glasnik Matematicki (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3336/gm.56.1.01

zbMATH Keywords

symmetric designslinear codeprojective general linear group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Linear algebraic groups over finite fields (20G40) Linear codes (general theory) (94B05) Association schemes, strongly regular graphs (05E30) Finite simple groups and their classification (20D05)

Related Items (1)

Designs and codes from fixed points of alternating groups

Cites Work

• The depth of subgroups of \(\text{PSL}(2,q)\). II.
• Maximum sum element orders of all proper subgroups of \(PGL(2,q)\).
• Permutation decoding for the binary codes from triangular graphs.
• Designs from the group \(\text{PSL}_2(q)\), \(q\) even
• \(3\)-designs from PGL\((2,q)\)
• The Finite Simple Groups
• Constructing some designs invariant underPSL₂(q),qeven
• Symmetric $1$-designs from $PSL_{2}(q),$ for $q$ a power of an odd prime
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