More heffter spaces via finite fields

A (Formula presented.) Heffter space is a resolvable (Formula presented.) configuration whose points form a half-set of an abelian group (Formula presented.) and whose blocks are all zero-sum in (Formula presented.). It was recently proved that there are infinitely many orders (Formula presented.) for which, given any pair (Formula presented.) with (Formula presented.) odd, a (Formula presented.) 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 (Formula presented.) even.