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Automorphisms of pentagonal geometries with block size 3 — arXiv:2610.01390

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.01390
License (as archived): CC0-1.0
Archived: 2026-10-06T17:41:10.887Z
SHA-256 of the archived text: ab9e314fbda5fb9b2da0271c46596f8aa2725bb874d3fdbf00bb2c3a7cb257a2
Stable URL of this page: https://metraipolis.com/documento/dc_e487ffd78985

How to cite

Automorphisms of pentagonal geometries with block size 3 — arXiv:2610.01390 — arXiv (en), https://arxiv.org/abs/2610.01390 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_e487ffd78985 (Metraipolis archive dc_e487ffd78985, sha256 ab9e314fbda5fb9b2da0271c46596f8aa2725bb874d3fdbf00bb2c3a7cb257a2)

BibTeX

@misc{dce487ffd78985,
  title = {Automorphisms of pentagonal geometries with block size 3 — arXiv:2610.01390},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.01390},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_e487ffd78985; sha256 ab9e314fbda5fb9b2da0271c46596f8aa2725bb874d3fdbf00bb2c3a7cb257a2},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.01390. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

A pentagonal geometry PENT(k,r) is a k-uniform, r-regular partial linear space with the property that the set of points not collinear with a given point x is itself a line in the geometry. The existence spectrum of these geometries is known; we begin the study of automorphisms of these structures in the case k=3. We determine the spectrum of pentagonal geometries PENT(3,r) with either a cyclic or reverse automorphism to be r = 1 or 10 (mod 12). In addition, we show that there are 584 pairwise non-isomorphic PENT(3,7)s and classify them by the orders of their automorphism groups.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-10-02 in math.CO).
Categorie arXiv: Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2610.01390 — 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 2026-10-06T16:06:55.848Z dalla pagina https://arxiv.org/catchup/math.CO/2026-10-02?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).