Wreath Products of Groups and Semigroups (Monographs and Surveys in Pure and Applied Mathematics)

Wreath products have arisen in many situations in both group and semigroup theory, often providing examples of unexpected behavior, but also in quite fundamental settings. They occur in many applications in science, particularly in physics and chemistry Content: Part 1 Wreath products of groups: construction and basic properties centralizers conjugacy and direct decomposition nilpotency automorphisms classes of groups some special constructions generalized wreath products twisted wreath products and crown products. Part 2 Wreath products of semigroups: construction and basic properties regular semigroups generalized wreath products the Krohn-Rhodes theorem applications and further developments.