Cycle indices for finite orthogonal groups of even characteristic

DOI10.1090/S0002-9947-2012-05406-7zbMath1247.20053arXiv1004.2678MaRDI QIDQ5390251

Jan Saxl, Jason Fulman, Pham Hũ'u Tiêp

Publication date: 27 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.2678

zbMATH Keywords

random matricesorthogonal groupsWeil representationsrandom partitionscycle indicescycle index generating functions

Mathematics Subject Classification ID

Related Items (5)

Unnamed Item ⋮ On the distribution of the number of fixed vectors for the finite classical groups ⋮ Totally orthogonal finite simple groups ⋮ Traces of powers of matrices over finite fields ⋮ McKay graphs for alternating and classical groups

Cites Work

• Unnamed Item
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• Unipotent elements in small characteristic. III. (With an appendix with T. Xue).
• The embedding \(O(2m,2^ k)\leq Sp(2m,2^ k)\)
• Unipotent elements in small characteristic.
• The Ore conjecture.
• Unipotent elements in small characteristic. II.
• The cycle structure of a linear transformation over a finite field
• Classes unipotentes et sous-groupes de Borel
• Partitions, \(q\)-series and the Lusztig-MacDonald-Wall conjectures
• A probabilistic approach toward conjugacy classes in the finite general linear and unitary groups
• A theorem on random matrices and some applications
• Some asymptotic results on finite vector spaces
• A probabilistic approach to conjugacy classes in the finite symplectic and orthogonal groups
• Cyclic matrices in classical groups over finite fields
• Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution.
• The order of a typical matrix with entries in a finite field
• Random matrix theory over finite fields
• Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements
• Derangements in subspace actions of finite classical groups
• Cyclic, separable and semisimple transformations in the finite conformal groups
• Cycle index methods for finite groups of orthogonal type in odd characteristic
• The Expected order of a Random Permutation
• A Note on Counting Nilpotent Matrices of Fixed Rank
• Cycle indices for the finite classical groups
• Subgroups of Algebraic Groups Containing Regular Unipotent Elements
• Cyclic, Separable and Semisimple Matrices in the Special Linear Groups Over a Finite Field
• Counting cyclic and separable matrices over a finite field
• Cross characteristic representations of even characteristic symplectic groups
• A generating function approach to the enumeration of matrices in classical groups over finite fields
• Cyclic, separable and semisimple transformations in the special unitary groups over a finite field
• Ordered Cycle Lengths in a Random Permutation
• On the conjugacy classes in the unitary, symplectic and orthogonal groups

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