Products of representations of wreath products

Gaussian Fluctuations of Representations of Wreath Products

We study the asymptotics of the reducible representations of the wreath productsG≀Sq = G⋊Sq for large q, whereG is a fixed finite group and Sq is the symmetric group in q elements; in particular for G = Z/2Z we recover the hyperoctahedral groups. We decompose such a reducible representation of G ≀ Sq as a sum of irreducible components (or, equivalently, as a collection of tuples of Young diagra...

Cayley Automatic Representations of Wreath Products

We construct the representations of Cayley graphs of wreath products using finite automata, pushdown automata and nested stack automata. These representations are in accordance with the notion of Cayley automatic groups introduced by Kharlampovich, Khoussainov and Miasnikov and its extensions introduced by Elder and Taback. We obtain the upper and lower bounds for a length of an element of a wr...

WREATH PRODUCTS AND REPRESENTATIONS OF p-LOCAL FINITE GROUPS

Given two finite p-local finite groups and a fusion preserving morphism between their Sylow subgroups, we study the question of extending it to a continuous map between the classifying spaces. The results depend on the construction of the wreath product of p-local finite groups which is also used to study p-local permutation representations.

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 ...

The Wreath Products