On free involutions in linear groups and collineation groups of translation planes

DOI10.1007/BF01227837zbMath0591.51007MaRDI QIDQ1074860

Christoph Hering, Chat-Yin Ho

Publication date: 1986

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

zbMATH Keywords

translation planecollineation groupfree involutions in linear groups

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Translation planes and spreads in linear incidence geometry (51A40)

Related Items (7)

Order 4 elements of linear and collineation groups. ⋮ Inherited groups and kernels of derived translation planes ⋮ A Semifield of Order 5⁴Admitting a Free 4-Group of Automorphisms ⋮ Linear transformation and collineation of finite translation planes ⋮ Große Baer-Untergruppen auf Translationsebenen gerader Ordnung ⋮ Die Projektivitaetengruppen der endlichen Translationsebenen ⋮ Subgroups of \(\text{GL}_n(q)\) which fix sublattices of the subspace lattice

Cites Work

• Unnamed Item
• On finite line transitive affine planes
• On elementary abelian TI-subgroups
• Translation planes of characteristic two in which all involutions are Baer
• 2-fusion in finite groups
• Finite groups in which the centralizer of any element of order 2 is 2- closed
• The characterization of finite groups with abelian Sylow 2-subgroups
• The characterization of finite groups with dihedral Sylow 2-subgroups. I, II
• On shears of translation planes
• Finite groups of even order in which Sylow 2-groups are independent
• Nonsolvable finite groups all of whose local subgroups are solvable
• Endliche Gruppen I
• On 2-Modular Representations of the Suzuki Groups

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