Translation planes of characteristic two in which all involutions are Baer

DOI10.1016/0021-8693(78)90001-7zbMath0401.51002OpenAlexW2086157968MaRDI QIDQ1255223

Norman L. Johnson

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1016/0021-8693(78)90001-7

zbMATH Keywords

Baer InvolutionsLinear Translation ComplementTranslation Planes of Characteristic Two

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Finite affine and projective planes (geometric aspects) (51E15) Combinatorial aspects of finite geometries (05B25) Finite simple groups and their classification (20D05) Translation planes and spreads in linear incidence geometry (51A40) Non-Desarguesian affine and projective planes (51A35)

Related Items

On translation planes of order \(q^ 2\) that admit a group of order \(q^ 2(q-1)\); Bartolone's theorem ⋮ The translation planes of order \(q_ 2\) that admit SL(2,q) as a collineation group. I: Even order ⋮ The translation planes of order 16 that admit nonsolvable collineation groups ⋮ On spreads in PG(3,2_s) that admit projective groups of order 2_s ⋮ Translation planes admitting many homologies ⋮ On free involutions in linear groups and collineation groups of translation planes

Cites Work

• Unnamed Item
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• Lineare auflösbare Gruppen
• Eine neue Klasse endlicher Translationsebenen
• Tangentially transitive planes of order 16
• Solvable linear groups on vector spaces whose dimension is the product of two primes
• Baer p-elements in translation planes
• Normal subgroups of collineation groups of finite translation planes
• Solvability of groups of odd order
• Zur Geometrie der Suzukigruppen
• p-solvable doubly transitive permutation groups
• Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist
• The characterization of finite groups with abelian Sylow 2-subgroups
• Finite translation planes
• A new finite simple group with abelian Sylow 2-subgroups and its characterization
• On shears of translation planes
• Representations of Chevalley Groups in Characteristic p
• Endliche Gruppen I
• On the Smallest Degrees of Projective Representations of the Groups PSL(n, q)
• Subplanes of Partial Spreads in Translation Planes
• Semi-Translation Planes