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Affine planes with primitive collineation groups

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Publication:1263813
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DOI10.1016/0021-8693(90)90029-NzbMath0688.51005MaRDI QIDQ1263813

Yutaka Hiramine

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)


zbMATH Keywords

translation planeaffine planeprimitive collineation group


Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Finite affine and projective planes (geometric aspects) (51E15) Translation planes and spreads in linear incidence geometry (51A40)


Related Items (1)

Factor sets associated with regular collineation groups



Cites Work

  • Primitive permutation groups of odd degree, and an application to finite projective planes
  • Flag-transitive subgroups of Chevalley groups
  • Minimal degree for a permutation representation of a classical group
  • A characterization of Chevalley groups over fields of odd order. I, II
  • Finite affine planes with collineation groups primitive on the points
  • On finite simple groups of characteristic 2 type
  • A theorem on doubly transitive permutation groups
  • Involutions in Chevalley groups over fields of even order
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