Metraipolis › archive › dc_09e4e36aede2

On the reconstruction of $n$-quasigroups of order $4$ and upper bounds on their number — arXiv:2609.03116

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.03116
License (as archived): CC0-1.0
Archived: 2026-10-17T02:33:19.795Z
SHA-256 of the archived text: 2136c5c9f7982ba662f117fd757eb48bbb1c6c869910ad24e5117c5f79640a65
Stable URL of this page: https://metraipolis.com/documento/dc_09e4e36aede2

How to cite

On the reconstruction of $n$-quasigroups of order $4$ and upper bounds on their number — arXiv:2609.03116 — arXiv (en), https://arxiv.org/abs/2609.03116 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_09e4e36aede2 (Metraipolis archive dc_09e4e36aede2, sha256 2136c5c9f7982ba662f117fd757eb48bbb1c6c869910ad24e5117c5f79640a65)

BibTeX

@misc{dc09e4e36aede2,
  title = {On the reconstruction of $n$-quasigroups of order $4$ and upper bounds on their number — arXiv:2609.03116},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.03116},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_09e4e36aede2; sha256 2136c5c9f7982ba662f117fd757eb48bbb1c6c869910ad24e5117c5f79640a65},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.03116. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

(This is a reprint of the thesis published in the Transactions of the Conference Devoted to the 90th Anniversary Of Alexei A. Lyapunov, Novosibirsk, October 8-12, 2001, pages 323-327). The number of ways for partial $n$-quasigroups of order $4$ to be extended to $n$-quasigroups is investigated. Upper bounds on the number of $n$-quasigroups of order $4$ are obtained. The asymptotic $3^{n+1}2^{2^n+1}$ of that number is established.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-09-04 in math.CO).
Categorie arXiv: Combinatorics (math.CO) ; Group Theory (math.GR).
Pagina del lavoro: https://arxiv.org/abs/2609.03116 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-17T02:09:21.173Z dalla pagina https://arxiv.org/catchup/math.CO/2026-09-04?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).