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.

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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
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article

More Heffter Spaces via Finite Fields

Marco Buratti, Anita Pasotti
2 citations
Journal of Combinatorial Designs
graph theory and CDMA systems
1.46
article

More Heffter Spaces via Finite Fields

Marco Buratti, Anita Pasotti
article en
2 citations

Abstract

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.

Journal of Combinatorial DesignsVol. 33(5)
University of Brescia (IT), Sapienza University of Rome (IT)
Openalex Percentile: Top 19%
graph theory and CDMA systems
1.46
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