2-transitive groups in which the stabilizer of two points is cyclic

DOI10.1016/0021-8693(72)90032-4zbMath0257.20002OpenAlexW2005816663MaRDI QIDQ2559542

Gary M. Seitz, Michael E. O'Nan, William M. Kantor

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)90032-4

Mathematics Subject Classification ID

Multiply transitive finite groups (20B20)

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Cites Work

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• Zweifach transitive, auflösbare Permutationsgruppen
• On projective and affine planes with transitive collineation groups
• Kennzeichnung endlicher linearer Gruppen als Permutationsgruppen
• Solvability of groups of odd order
• Charakterisierungen der endlichen desarguesschen projektiven Ebenen
• A characterization of the 3-dimensional projective unitary group over a finite field of odd characteristic
• Central elements in core-free groups
• Endliche zweifach transitive Permutationsgruppen, deren Involutionen keine Fixpunkte haben
• The characterization of finite groups with dihedral Sylow 2-subgroups. III
• Some applications of the theory of blocks of characters of finite groups. II
• Some applications of the theory of blocks of characters of finite groups. III
• Transitive Gruppen gerader Ordnung, in denen jede Involution genau einen Punkt fest läßt
• On a class of doubly transitive groups. II
• A Family of Simple Groups Associated with the Simple Lie Algebra of Type (G 2 )
• Sur Une Famille de Groupes de Permutations Doublement Transitifs
• INVESTIGATION ON GROUPS OF EVEN ORDER, II
• On Doubly Transitive Groups of Degree n and Order 2(n − 1)n
• A Characterization of the Simple Group U₃(5)
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• On a class of doubly transitive permutation groups
• On a class of doubly transitive groups
• On a class of doubly transitive permutation groups