Antonino Giorgio Spera
Published 2009-02-18Version 1
In this note, we give a new necessary condition for the existence of non-trivial partitions of a finite vector space. Precisely, we prove that, if V is a finite vector space over a field of order q, then the number of the subspaces of minimum dimension t of a non-trivial partition of V is greater than or equal to q+t. Moreover, we give some extensions of a well known Beutelspacher-Heden's result on existence of T-partitions.
Counting subspaces of a finite vector space
The Affinity of a Permutation of a Finite Vector Space
On sets of vectors of a finite vector space in which every subset of basis size is a basis II
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