Evènement pour le groupe Graphes et Logique

Date 2012-01-17  11:00-12:00
RésuméThe algebraic definition of the wreath product seems at first sight obscure and hostile. However, by considering actions of monoids/groups on trees, this often unpopular operator becomes natural and clear. The use of the wreath product to obtain decompositions of algebraic structures has its most charismatic example in the Krohn-Rhodes Theorem: every finite monoid divides a wreath product of finite simple groups and very small aperiodic monoids. This approach admets extensions to the infinite case, and the wreath product is also essential in the exotic theory of self-similar groups. We shall speak of our recent contributions to these theories, in joint work with Rhodes or Steinberg and Kambites. 
Lieusalle 76 
OrateurPedro Silva 
UrlUniversity of Porto 

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