This is the first full-length book on the major theme of symmetry in graphs. Forming part of
algebraic graph theory, this fast-growing field is concerned with the study of highly …

Let G be a transitive permutation group acting on a finite set Ω with| Ω|⩾ 2. An element of G
is said to be a derangement if it has no fixed points on Ω, and by a theorem of Jordan from …

A nonidentity element of a permutation group is said to be semiregular provided all of its
cycles in its cycle decomposition are of the same length. It is known that semiregular …