On the characterization of the groups \(U_3(q)\) for \(q\) odd.

DOI10.1016/0021-8693(91)90230-6zbMath0736.20010OpenAlexW2041336412MaRDI QIDQ1177262

Thomas Peterfalvi

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90230-6

zbMATH Keywords

relationsuniquenessgeneratorsinvolutionclassification of finite simple groupsdoubly transitive groupthree-dimensional unitary groups

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Finite simple groups and their classification (20D05) Multiply transitive finite groups (20B20)

Related Items

A brief history of the classification of the finite simple groups ⋮ Finite groups of chain difference one ⋮ Existence of a regular normal subgroup of some 2-transitive groups.

Cites Work

• A characterization of the 3-dimensional projective unitary group over a finite field of odd characteristic
• Automorphisms of unitary block designs
• A characterization of U\(_3\)(\(q\))
• A Characterization of the Simple Group U₃(5)
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
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