On the number of matrices with given characteristic polynomial

zbMath0098.01402MaRDI QIDQ773536

Irving Reiner

Publication date: 1961

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

linear algebra, polynomials, forms

Related Items (19)

The number of linear transformations defined on a subspace with given invariant factors ⋮ Some probabilities for eigenvalues of matrices with entries in finite fields ⋮ Computer construction of split Cartan subalgebras ⋮ Primitive polynomials, Singer cycles and word-oriented linear feedback shift registers ⋮ Random generation of associative algebras ⋮ On distribution by rank of bases for vector spaces of matrices over a finite field ⋮ Nilpotent elements in Lie algebras ⋮ Statistical independence properties of pseudorandom vectors produced by matrix generators ⋮ An asymptotic formula for the number of irreducible transformation shift registers ⋮ Splitting fields for characteristic polynomials of matrices with entries in a finite field ⋮ Factoring polynomials over finite fields with Drinfeld modules ⋮ On the distribution of the density of maximal order elements in general linear groups ⋮ On quasi-conjugate N-tuples of matrices ⋮ Primitive transformation shift registers over finite fields ⋮ Traces of powers of matrices over finite fields ⋮ Jordan-Landau theorem for matrices over finite fields ⋮ The characteristic polynomial of a random matrix ⋮ Enumeration of linear transformation shift registers ⋮ Counting nilpotent endomorphisms

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