Abstract
We show that given a finitely presented group with which is a mapping torus for a finitely generated group and an automorphism of then if the Alexander polynomial of is non-constant, we can take to be arbitrarily large. We give a range of applications and examples, such as any group with that is -by- for the non-abelian free group of rank is also -by- for infinitely many . We also examine 3-manifold groups where we show that a finitely generated subgroup cannot be conjugate to a proper subgroup of itself.
Citation
Jack O. BUTTON. "Mapping tori with first Betti number at least two." J. Math. Soc. Japan 59 (2) 351 - 370, April, 2007. https://doi.org/10.2969/jmsj/05920351
Information