2024/08/22 by Buratti, Marco, Pasotti, Anita · 1 citation
#Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.2408.12412
A (v,k;r) Heffter space is a resolvable (vr,bk) 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.