Limit probabilities for coranks of matrices over GF(q)

DOI10.1080/03081088608817706zbMath0609.15006OpenAlexW1985350257MaRDI QIDQ3749183

Frank III Gerth

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03081088608817706

zbMATH Keywords

Markov processesrankskew-symmetricsymmetriccorankanti-symmetricmatrices over a finite field

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (6)

How often do determinants over finite fields vanish? ⋮ The 8-rank of the narrow class group and the negative Pell equation ⋮ Universality for cokernels of random matrix products ⋮ On p ‐Class Groups of Cyclic Extensions of Prime Degree p of Quadratic Fields ⋮ Phase transition of multivariate polynomial systems ⋮ Some asymptotics for triangular matrices over finite fields

Cites Work

• Unnamed Item
• The 4-class ranks of quadratic fields
• Representation by quadratic forms in a finite field
• Representations by skew forms in a finite field
• Density results for the 2-classgroups of imaginary quadratic fields.
• Representation Theory for Denumerable Markov Chains

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