Further translation planes of order \(19^{2}\) admitting \(SL(2,5)\), obtained by nest replacement

DOI10.1007/s10623-008-9205-7zbMath1184.51003OpenAlexW2137363595MaRDI QIDQ1009046

Alan R. Prince

Publication date: 31 March 2009

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-008-9205-7

zbMATH Keywords

translation planesnest replacement\(SL(2,5)\)

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Translation planes and spreads in linear incidence geometry (51A40)

Cites Work

• Some multiply derived translation planes with SL(2,5) as an inherited collineation group in the translation complement
• Konfigurationen einander meidender Kreise in miquelschen Möbiusebenen ungerader Ordnung
• Inversive geometry and some new translation planes. I
• Filling the nest gaps
• A translation plane of order \(19^2\) admitting \(\mathrm{SL}(2,5)\), obtained by 12-nest replacement
• The translation planes of order 81 that admit \(\mathbf{SL}(2,5)\), generated by affine elations
• Endliche Gruppen I
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