Strongly irreducible collineation groups and the Hall-Janko group

DOI10.1007/BF02280660zbMath0752.20006MaRDI QIDQ1182538

Alan R. Prince

Publication date: 28 June 1992

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

projective planeHall-Janko groupsporadic simple groupstrongly irreducible collineation groupquaternionic plane

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Simple groups: sporadic groups (20D08) Non-Desarguesian affine and projective planes (51A35)

Related Items (2)

Irreducible collineation groups fixing an oval ⋮ Irreducible collineation groups fixing a hyperoval

Cites Work

• Unnamed Item
• Perspectivities in irreducible collineation groups of projective planes, II
• Characterization of projective planes of small prime orders
• On the structure of finite collineation groups of projective planes
• Quaternions over \(Q(\sqrt5)\), Leech's lattice and the sporadic group of Hall-Janko
• On Chevalley-groups acting on projective planes
• On finite simple groups containing perspectivities
• Perspectivities in irreducible collineation groups of projective planes. I
• Maximal subgroups of the Hall-Janko-Wales group
• On certain permutation representations of the Hall–Janko group
• THE HALL-JANKO GROUP AS A COLLINEATION GROUP OF AN INFINITE PROJECTIVE PLANE

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