Free wreath products with amalgamation

Free Products with Amalgamation and 3-manifolds

The Conjugacy Problem in Wreath Products and Free Metabelian Groups

1. Introduction. The conjugacy problem was formulated by Dehn in 1912 for finitely presented groups [1]. The question was whether it can be effectively determined for such a group when two elements are conjugate. This general question was answered in the negative by Novikov in 1954 [6J. But it is still of interest to determine whether the problem is solvable for particular finitely presented gr...

The Wreath Products

Rooted Wreath Products

We introduce “rooted valuation products” and use them to construct universal Abelian lattice-ordered groups (with prescribed set of components) [CHH] from the more classical theory of [Ha]. The Wreath product construction of [H] and [HMc] generalised the Abelian (lattice-ordered) group ideas to a permutation group setting to respectively give universals for transitive (`-) permutation groups wi...

Coupled Cells: Wreath Products and Direct Products

In this note we discuss the structure of systems of coupled cells (which we view as systems of ordinary differential equations) where symmetries of the system are obtained through the group G of global permutations of the cells and the group L of local internal symmetries of the dynamics in each cell. We show that even when the cells are assumed to be identical with identical coupling, the way ...