How many vectors generate maximal cyclic subspaces?

DOI10.1016/S1071-5797(02)00015-1zbMath1028.15014OpenAlexW2051552231MaRDI QIDQ1870023

William C. Waterhouse

Publication date: 4 May 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1071-5797(02)00015-1

zbMATH Keywords

finite fieldsminimal polynomialsinfinite spacesfinite spacesmaximal cyclic subspaces

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• Determining the structure of the Jordan normal form of a matrix by symbolic computation
• Cyclic Matrices Over Finite Fields
• Polynomials with Irreducible Factors of Specified Degree
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