Conjugacy problem in groups of non-oriented geometrizable 3-manifolds

We have proved in [Topology, 45 1 (2006)] that fundamental groups of oriented geometrizable 3-manifolds have a solvable conjugacy problem. We now consider the case of groups of non-oriented geometrizable 3-manifolds in order to conclude that fundamental groups of geometrizable 3-manifolds all have a solvable conjugacy problem.Comment: 10 page

Wreath product of groups with infinite conjugacy classes

We characterise the group property of being with infinite conjugacy classes for wreath products of group

Split extensions of group with infinite conjugacy classes

We characterize the group property of being with infinite conjugacy classes (or icc, i.e. in which all conjugacy classes beside 1 are infinite) for split extensions of groups.Comment: 8 page

Finite extension of group with infinite conjugacy classes

We characterize the group property of being with infinite conjugacy classes (or icc, i.e. \not= 1 and of which all conjugacy classes except 1 are infinite) for finite extensions of group.Comment: 4 page

Groupe a classes de conjugaisons infinies : quelques exemples

We consider the group property of being icc. We give several examples of icc groups and study its stability under usual algebraic constructions.Comment: 6 pages; in frenc

Centre, commutativite et conjugaison dans un graphe de groupe

We give characterizations of the center, of conjugated and of commuting elements in a fundamental group of a graph of group. We deduce various results : on the one hand we give a sufficient condition for the center, the centralizers, and the root structures in such a group to be in some sense trivial, and on the other hand we prove that for any group G, the conjugacy problem reduces to the same problem in a double of G along any finite family of subgroups.Comment: 28 pages, in frenc