More Heffter Spaces via Finite Fields
ABSTRACT A Heffter space is a resolvable configuration whose points form a half‐set of an abelian group and whose blocks are all zero‐sum in . It was recently proved that there are infinitely many orders for which, given any pair with odd, a 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 even.
Authors
- Marco Buratti (ORCID: https://orcid.org/0000-0003-1140-2251)
- Anita Pasotti (ORCID: https://orcid.org/0000-0002-3569-2954)
Institutions
- University of Brescia (IT)
- Sapienza University of Rome (IT)
Publication Details
- Journal
- Journal of Combinatorial Designs
- Published
- 2025-02-23
- DOI
- https://doi.org/10.1002/jcd.21974
- Citations
- 2
- Primary Topic
- graph theory and CDMA systems
- Type
- article
- Field-Weighted Citation Impact
- 1.46