Normalizers and centralizers of cyclic subgroups generated by lone axis fully irreducible outer automorphisms

作者：Algom Kfir Yael^*; Pfaff Catherine

来源：The New York Journal of Mathematics, 2017, 23: 365-381.

We let phi be an ageometric fully irreducible outer auto-morphism so that its Handel-Mosher axis bundle (Handel and Mosher, 2011) consists of a unique axis (as in Mosher and Pfaff, 2016). We show that the centralizer Cen((phi)) of the cyclic subgroup generated by phi equals the stabilizer Stab(A(phi)(+)) of the attracting lamination and is isomorphic to Zeta. We further show, via an analogous result about the commensurator, that the normalizer N((phi)) of (phi) is isomorphic to either Z or Z(2) * Z(2)

• 出版日期2017