permutation group

Noun

permutation group (plural permutation groups)

1. A group whose elements are permutations (self-bijections) of a given set and whose group operation is function composition.
   • In this chapter we shall be concerned with the relationship between permutation groups and graphs. We begin by explaining how a transitive permutation group may be represented graphically, and then we reverse the process, showing that a graph gives rise to a permutation group.1979, Norman L. Biggs, A. T. White, Permutation Groups and Combinatorial Structures, page 80
   • The Galois group G(L_f /C(x)) is called the monodromy group of f, denoted Mon(f), and viewed as a permutation group on the conjugates of y over C(x).1996, Helmut Volklein, Groups as Galois Groups: An Introduction, page 47

   Synonyms:

   transformation group