Linear groups containing an element with an eigenspace of codimension two

DOI10.1016/0021-8693(75)90182-9zbMath0302.20037OpenAlexW2116887254MaRDI QIDQ1215583

W. Cary Huffman

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90182-9

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Representation theory for linear algebraic groups (20G05) Abstract finite groups (20D99)

Related Items (14)

Classification of finite groups generated by reflections and rotations ⋮ Finite quaternionic reflection groups ⋮ Imprimitive linear groups generated by elements containing an eigenspace of codimension two ⋮ Linear groups of degreencontaining an element with exactly n–2 equal eigenvalues ⋮ On the Cohen-Macaulay property of multiplicative invariants ⋮ Linear groups ⋮ Geometry of 1-tori in $\mathrm {GL}_n$ ⋮ Rings of invariants of finite groups which are hypersurfaces. II ⋮ Linear groups containing an involution with two eigenvalues -1 ⋮ Linear groups of degree n containing an involution with two eigenvalues - 1. II ⋮ Characterization of finite groups generated by reflections and rotations ⋮ Connections between finite linear groups and linear algebra ⋮ Invariants of linear groups generated by matrices with two nonunit eigenvalues ⋮ Quotient singularities which are complete intersections

Cites Work

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• On a six dimensional projective representation of the Hall-Janko group
• On a six dimensional projective representation of \(\text{PSU}_4(3)\).
• Finite linear groups of degree seven. II
• The classes and representations of the groups of 27 lines and 28 bitangents
• Finite Linear Groups of Degree Seven. I
• Finite Linear Groups of Degree Six
• On Groups Whose Order Contains a Prime Number to the First Power I

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