Michael Mihalik

collaborators

4 papers

math.GR2026

The higher connectivity at infinity of mapping class groups

Michael Mihalik

The higher connectivity at infinity for mapping class groups of surfaces with boundary components and punctures is understood with the exceptions of the mapping class groups for th…

math.GR2026

A Manual for Ends, Semistability and Simple Connectivity at Infinity for Groups and Spaces

Michael Mihalik

This $2^{n d}$ -edition article is intended to be an up-to-date archive of the current state of the questions: Which finitely generated groups $G$ : have semistable fundamental group…

math.GR2025

Stallings' Group is Simply Connected at Infinity

Michael Mihalik

Let $F_{2}$ be the free group on two generators and let $B_{n}$ ( $n \geq 2$ ) denote the kernel of the homomorphism $F_{2} \times \dots (n) \dots \times F_{2} \to Z$ s…

math.GR2025

The Lamplighter Group is Not Semistable at Infinity

Michael Mihalik

The question of whether or not all finitely presented groups are semistable at infinity has been studied for over 40 years. In 1986, we defined what it means for a finitely generat…