The expected order of a random unitary matrix

DOI10.1515/JGT.2008.029zbMath1187.15040arXivmath/0609052MaRDI QIDQ3516778

Eric Schmutz

Publication date: 11 August 2008

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

Full work available at URL: https://arxiv.org/abs/math/0609052

zbMATH Keywords

unitary grouprandom matrixfinite groupunitary matrix

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57) Random matrices (algebraic aspects) (15B52)

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Cites Work

• Self-reciprocal irreducible polynomials over finite fields
• The cycle structure of a linear transformation over a finite field
• The average order of a matrix
• Some asymptotic results on finite vector spaces
• Cycle indices for the finite classical groups

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