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On prime order automorphisms of generalized quadrangles
Santana F. Afton, Eric Swartz
In this paper, we study prime order automorphisms of generalized quadrangles. We show that, if is a thick generalized quadrangle of order , where and $…
Spectra of Hadamard matrices
Ronan Egan, Padraig O Cathain, Eric Swartz
A Butson Hadamard matrix has entries in the kth roots of unity, and satisfies the matrix equation . We write for the set of such matrice…
On integers that are covering numbers of groups
Martino Garonzi, Luise-Charlotte Kappe, Eric Swartz
The covering number of a group , denoted by , is the size of a minimal collection of proper subgroups of whose union is . We investigate which integers are covering…
Transitive PSL(2,11)-invariant k-arcs in PG(4,q)
Torger Olson, Eric Swartz
A \textit{k}-arc in the projective space is a set of projective points such that no subcollection of points is contained in a hyperplane. In this paper, w…