More Heffter Spaces via Finite Fields

A (v, k; r) Heffter space is a resolvable (v(r), b(k)) configuration whose points form a half-set of an abelian group G and whose blocks are all zero-sum in G. It was recently proved that there are infinitely many orders v for which, given any pair (k, r) with k >= 3 odd, a (v, k; r) Heffter space exists. This was obtained by imposing a point-regular automorphism group. Here, we relax this request by asking for a point-semiregular automorphism group. In this way, the above result is extended also to the case k even.