The translation planes of order 49 and their automorphism groups

DOI10.1090/S0025-5718-98-00961-2zbMath0902.51002MaRDI QIDQ4396459

Chris Charnes, Ulrich Dempwolff

Publication date: 14 June 1998

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

automorphism grouptranslation plane

Mathematics Subject Classification ID

Combinatorics in computer science (68R05) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25)

Related Items (6)

On incidence structures of nonsingular points and hyperbolic lines of ovoids in finite orthogonal spaces ⋮ On the transposed Rao's flag-transitive plane of order 49 ⋮ Linear groups as right multiplication groups of quasifields ⋮ The non-solvable rank 3 affine planes ⋮ Factorized spread sets and translation planes with large homology groups ⋮ Symplectic semifield planes and ℤ₄–linear codes

Uses Software

• GAP
• AWK

Cites Work

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• The classification of the translation planes of order 16. I
• New families of ovoids in \(O\) \(+_ 8\)
• Construction of two-dimensional flag-transitive planes
• Translationsebenen der Ordnung 49 mit Scherungen. (On translation planes of order 49 admitting shears.)
• Translationsebenen der Ordnung 49 mit einer Quaternionengruppe von Dehnungen. (Translation planes of order 49 with a quaternion group of homologies)
• Translation planes of order 27
• The translation planes of order 49

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