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Character tables of the association schemes coming from the action of \(G_{2}(q)\) on hyperplanes of type \(O_{6} \epsilon (q)\)

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Publication:949247
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DOI10.1007/S12190-007-0006-3zbMath1177.05129OpenAlexW1975831864MaRDI QIDQ949247

Hiromichi Yamada, Eiichi Bannai, Sung-Yell Song

Publication date: 21 October 2008

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-007-0006-3


zbMATH Keywords

multiplicity-free permutation characters


Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Representation theory of groups (20C99) Group actions on combinatorial structures (05E18)





Cites Work

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  • The maximal subgroups of the Chevalley groups \(G_ 2(q)\) with q odd, the Ree groups \(2G_ 2(q)\), and their automorphism groups
  • Character table of a controlling association scheme defined by the general orthogonal group \(O(3,q)\)
  • Character tables of fission schemes and fusion schemes
  • Character tables of the association schemes of finite orthogonal groups acting on the nonisotropic points
  • On the 2-Closures of Finite Permutation Groups




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