On some combinatorial structures constructed from the groups \(L(3, 5), U(5, 2)\), and \(S(6, 2)\)
type: Item
instance of: scholarly article
title: On some combinatorial structures constructed from the groups \(L(3, 5), U(5, 2)\), and \(S(6, 2)\)
zbMATH Open document ID: 1236.05206
DOI: 10.1155/2011/137356
author: Dean Crnković
author: Vedrana Mikulić Crnković
published in: International Journal of Combinatorics
publication date: 2012-03-08T00:00:00Z
review text: Summary: We describe a construction of primitive 2-designs and strongly regular graphs from the simple groups \(L(3, 5), U(5, 2)\), and \(S(6, 2)\). The designs and the graphs are constructed by defining incidence structures on conjugacy classes of maximal subgroups of \(L(3, 5), U(5, 2)\), and \(S(6, 2)\). In addition, from the group \(S(6, 2)\), we construct 2-designs with parameters \((28, 4, 4)\) and \((28, 4, 1)\) having the full automorphism group isomorphic to \(U(3, 3) : Z_2\).
Mathematics Subject Classification ID: 05E18
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 6013072
zbMATH Keywords: quasisymmetric design
zbMATH Keywords: incidence structure
Wikidata QID: Q58655886
describes a project that uses: GAP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/137356
OpenAlex ID: W1992770950
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description: scientific article; zbMATH DE number 6013072