Courses Introduction to limit groups and JSJ-decompositions: Abderezak Ould Houcine
Friday, 25.05.2012 14:00 im Raum N2
Abstract :
A limit group is a nitely generated group which is model of the
universal theory of a free group. These groups were introduced by Z. Sela in his
study of the elementary theory of free groups and the solution of the famous
problem of Tarski. They coincide with other groups previously studied which are
known under the name of fully residually-free groups and which were independently
studied by Baumslag, Miasnikov and Kharlampovich. They constitute
the rst step in understanding the elementary theory of free groups.
One of the important notions used in the study of the elementary theory
of free groups is the notion of JSJ-decomposition. The objective of these minicourses
is to give an introduction to limit groups and JSJ-decompositions.