On subgroup separability of free-by-cyclic and deficiency 1 groups
Abstract
We show that a free-by-cyclic group with a polynomially growing monodromy is subgroup separable exactly when it is virtually Fn × Z. We also prove that random deficiency 1 groups are not subgroup separable with positive asymptotic probability.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.