Cyclic, separable and semisimple transformations in the finite conformal groups

DOI10.1515/JGT.2006.038zbMath1181.20043OpenAlexW2089635308MaRDI QIDQ3413634

John R. Britnell

Publication date: 13 December 2006

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

Full work available at URL: https://doi.org/10.1515/jgt.2006.038

zbMATH Keywords

generating functionsorthogonal groupsspecial unitary groupsnumbers of elementsminimal polynomialscyclic matricesseparable matricescycle indicesrational canonical formssemisimple matricescyclic transformationssemisimple transformationsseparable transformations

Mathematics Subject Classification ID

Related Items (7)

The number of regular semisimple conjugacy classes in the finite classical groups. ⋮ Power series coefficients for probabilities in finite classical groups ⋮ Derangements in subspace actions of finite classical groups ⋮ Sets of elements that pairwise generate a linear group ⋮ Constructive homomorphisms for classical groups. ⋮ Cycle indices for finite orthogonal groups of even characteristic ⋮ Regular characters of classical groups over complete discrete valuation rings

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
• Cyclic, separable and semisimple transformations in the special unitary groups over a finite field
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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