#### Abstract

Let Ω be a finite set of size *n*. A **cyclic permutation** on Ω is a permutation whose cycle decomposition is one cycle of length *n*. This paper classifies all finite doubly-transitive permutation groups which contain a cyclic permutation. The classification appears in Table 1.

We use (*G*, Ω) for a finite doubly-transitive permutation group *G* acting on a finite set Ω. For other notation and definitions see the self-contained article Cameron [1].

lyonsfin.dvi (9 kB)

*.dvi copy*#### Recommended Citation

McSorley, John P. "Cyclic Permutations in Doubly-Transitive Groups." (Jan 1997).

## Comments

Published in

Communications in Algebra, 25(1), 33-35.