Transitive $t$-designs and strongly regular graphs constructed from linear groups $L(2,q)$‎, ‎$q leq 23$

DOI10.22108/ijgt.2017.21613zbMath1443.05020OpenAlexW2751696848MaRDI QIDQ5124333

Dean Crnković, Andrea Švob

Publication date: 18 September 2020

Full work available at URL: https://doaj.org/article/61d6edfa5876419c84246b01915ee312

zbMATH Keywords

strongly regular graph\(t\)-designtransitive grouplinear group

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30) Combinatorial aspects of groups and algebras (05E16)

Related Items (2)

Transitive distance-regular graphs from linear groups $L(3,q)$, $q = 2,3,4,5$ ⋮ Neighbour-transitive codes in Kneser graphs

Uses Software

• Magma

Cites Work

• On some transitive combinatorial structures constructed from the unitary group \(U(3,3)\)
• On some combinatorial structures constructed from the groups \(L(3, 5), U(5, 2)\), and \(S(6, 2)\)
• 3-designs from \(\text{PSL}(2,q)\)
• Simple 3-designs and PSL\((2,q )\) with \(q \equiv 1\pmod4\)
• Die 5-fach transitiven Gruppen von Mathieu
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