Cyclic, separable and semisimple transformations in the special unitary groups over a finite field

DOI10.1515/JGT.2006.037zbMath1105.20041OpenAlexW2077909014MaRDI QIDQ5480613

John R. Britnell

Publication date: 3 August 2006

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.037

zbMATH Keywords

special unitary groupscyclic matricesseparable matricessemisimple matricescyclic transformationssemisimple transformationsseparable transformations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Linear algebraic groups over finite fields (20G40) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Probabilistic methods in group theory (20P05) Matrices, determinants in number theory (11C20)

Related Items

Power series coefficients for probabilities in finite classical groups, Derangements in subspace actions of finite classical groups, Cycle indices for finite orthogonal groups of even characteristic, Cyclic, separable and semisimple transformations in the finite conformal groups, Cycle index methods for finite groups of orthogonal type in odd characteristic

Cites Work

• The cycle structure of a linear transformation over a finite field
• Some asymptotic results on finite vector spaces
• Cyclic matrices in classical groups over finite fields
• Cycle indices for the finite classical groups
• Cyclic, Separable and Semisimple Matrices in the Special Linear Groups Over a Finite Field
• Counting cyclic and separable matrices over a finite field
• On the conjugacy classes in the unitary, symplectic and orthogonal groups