25 research outputs found
-actions of Baumslag-Solitar groups on
Let be the solvable Baumslag-Solitar
group, where . It is known that B(1, n) is isomorphic to the group
generated by the two affine maps of the line : and . The action on S^1 = \RR \cup {\infty} generated by these two affine
maps and is called the standard affine one. We prove that any
representation of BS(1,n) into is (up to a finite index subgroup)
semiconjugated to the standard affine action