Transitive groups in which involutions fix one or three points

DOI10.1016/0021-8693(72)90113-5zbMath0249.20001OpenAlexW2094580014MaRDI QIDQ2556596

Francis Buekenhout

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1016/0021-8693(72)90113-5

Mathematics Subject Classification ID

Permutation groups (20B99) Multiply transitive finite groups (20B20) Characterization theorems for permutation groups (20B10)

Related Items (2)

On finite permutation groups in which involutions fix at most 15 points ⋮ Doubly transitive groups in which the maximum number of fixed points of involutions is four

Cites Work

• Solvability of groups of odd order
• Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben
• Zweifach transitive Permutationsgruppen, in denen 2 die maximale Anzahl von Fixpunkten von Involutionen ist
• Doubly transitive groups in which involutions fix one or three points
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• Doubly transitive groups in which the maximal number of fixed points of involutions is four
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• ON FINITE GROUPS OF EVEN ORDER WHOSE 2-SYLOW GROUP IS A QUATERNION GROUP
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
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