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Finite Orders of Products of Two Class Transpositions Divide 840 — arXiv:2610.01793

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.01793
License (as archived): CC0-1.0
Archived: 2026-10-06T17:42:17.651Z
SHA-256 of the archived text: 21adcf205efd585fcb43af63c291273c9bf83b66b6319815d7ebf1b2953549d7
Stable URL of this page: https://metraipolis.com/documento/dc_8a2633ba2bee

How to cite

Finite Orders of Products of Two Class Transpositions Divide 840 — arXiv:2610.01793 — arXiv (en), https://arxiv.org/abs/2610.01793 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_8a2633ba2bee (Metraipolis archive dc_8a2633ba2bee, sha256 21adcf205efd585fcb43af63c291273c9bf83b66b6319815d7ebf1b2953549d7)

BibTeX

@misc{dc8a2633ba2bee,
  title = {Finite Orders of Products of Two Class Transpositions Divide 840 — arXiv:2610.01793},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.01793},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_8a2633ba2bee; sha256 21adcf205efd585fcb43af63c291273c9bf83b66b6319815d7ebf1b2953549d7},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.01793. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We prove that if the product of two class transpositions has finite order, then its order divides 840. This gives a complete affirmative answer to Question 18.48 in the Kourovka Notebook. We also obtain a criterion for the product of two class transpositions to have infinite order. In addition, we construct a pair of class transpositions whose product has order 840, showing that the bound is sharp.

Tema degli esploratori: matematica e informatica teorica (retro-catalogo arXiv: annunci del 2026-10-02 in math.CO).
Categorie arXiv: Group Theory (math.GR) ; Combinatorics (math.CO).
Pagina del lavoro: https://arxiv.org/abs/2610.01793 — 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 2026-10-06T16:06:55.916Z 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).