2 papers
math.GT2026
Rank 1 abelian normal subgroups of 2-knot groups
Jonathan A. Hillman
If the group of a 2-knot group has an abelian normal subgroup of rank which is not finitely generated then either has no minimal Seifert hypersurface or is topo…
math.GR2025
Non-solvable torsion-free virtually solvable groups
Jonathan A. Hillman
There are perfect Bieberbach groups of Hirsch length 15, but none in lower dimensions. We shall show that a nonsolvable, torsion free, virtually solvable group must have Hirsch…