On covers of abelian groups by cosets
On derangement polynomials of type .
On multiplicities of points on Schubert varieties in Grassmannians.
On strongly sum-free subsets of abelian groups
In his book on unsolved problems in number theory [1] R. K. Guy asks whether for every natural l there exists with the following property: for every and any n elements of a group such that the product of any two of them is different from the unit element of the group, there exist l of the such that for and . In this note we answer this question in the affirmative in the first non-trivial case when l=3 and the group is abelian, proving the following result.
On subsequence sums of a zero-sum free sequence. II.
On the automorphism group of Solomon's descent algebra.
On the total number of principal series of a finite abelian group.
On zero free sets.
On zero-sum free subsets of length 7.