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.
A subexponential bound on the cardinality of abelian quotients in finite transitive groups
Lucchini A.;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.
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Bulletin of London Math Soc - 2021 - Lucchini - A subexponential bound on the cardinality of abelian quotients in finite.pdf
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