Enumeration of orbits on cycles for linear and affine groups

DOI10.1016/S0024-3795(02)00688-2zbMath1032.20003MaRDI QIDQ1399236

Daniele A. Gewurz

Publication date: 30 July 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

general linear groupsnumbers of orbitspermutation groupscycle structureaffine groupsSinger cyclesParker vectorsspecial linear groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Linear algebraic groups over finite fields (20G40) Subgroups of symmetric groups (20B35) General theory for finite permutation groups (20B05) Multiply transitive finite groups (20B20)

Cites Work

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• Cycle indices of linear, affine, and projective groups
• Fermat's theorem for matrices
• Reconstruction of permuting groups from their Parker vectors
• Singer Groups
• Parker vectors for infinite groups

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