We show that, for every transitive permutation group (Formula presented.) of degree (Formula presented.), the largest abelian quotient of (Formula presented.) has cardinality at most (Formula presented.). This gives a positive answer to a 1989 outstanding question of László Kovács and Cheryl Praeger.
Lucchini, A., Sabatini, L., Spiga, P. (2021). A subexponential bound on the cardinality of abelian quotients in finite transitive groups. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 53(6), 1711-1716 [10.1112/blms.12532].
A subexponential bound on the cardinality of abelian quotients in finite transitive groups
Sabatini L.
;Spiga P.
2021
Abstract
We show that, for every transitive permutation group (Formula presented.) of degree (Formula presented.), the largest abelian quotient of (Formula presented.) has cardinality at most (Formula presented.). This gives a positive answer to a 1989 outstanding question of László Kovács and Cheryl Praeger.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Spiga-2021-Bull London Math Soc-preprint.pdf
accesso aperto
Descrizione: Article
Tipologia di allegato:
Submitted Version (Pre-print)
Licenza:
Creative Commons
Dimensione
125.16 kB
Formato
Adobe PDF
|
125.16 kB | Adobe PDF | Visualizza/Apri |
|
Spiga-2021-Bull London Math Soc-VoR.pdf
accesso aperto
Descrizione: Article
Tipologia di allegato:
Publisher’s Version (Version of Record, VoR)
Licenza:
Creative Commons
Dimensione
125.08 kB
Formato
Adobe PDF
|
125.08 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
