Can I read A Subexponential Bound on the Cardinality of Abelian Quotients in Finite Transitive Groups on EtoBox?

A Subexponential Bound on the Cardinality of Abelian Quotients in Finite Transitive Groups by Lucchini, Andrea; Sabatini, Luca; Spiga, Pablo is a scholarly article available to read on EtoBox.

What is A Subexponential Bound on the Cardinality of Abelian Quotients in Finite Transitive Groups about?

We show that, for every transitive group $G$ of degree $n\ge 2$, the largest abelian quotient of $G$ has cardinality at most $4^{n/\sqrt{\log_2 n}}$. This gives a positive answer to a 1989 outstanding question of L\'aszl\'o Kov\'acs and Cheryl Praeger.

Author

Lucchini, Andrea; Sabatini, Luca; Spiga, Pablo

Published

2020

Language

EN