Séminaire Lotharingien de Combinatoire, B10o (1984), 4 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1987, 340/S-10, p.
76-79.]
Arne Dür
The Number of Matrices
Over a Finite Field With Prescribed Eigenspaces
Abstract.
In this article, we are concerned with the following counting problem:
Let π be an arbitrary partial partition of Fm.
What is the
number of m×m-matrices g
with entries in F such that π is just the set of eigenspaces of g ?
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