More Heffter Spaces via finite fields
| Autor: | Buratti, Marco, Pasotti, Anita |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | 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 $k\geq3$ 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. Comment: 8 pages |
| Databáze: | arXiv |
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