### One-relator groups with torsion are virtually free-by-cyclic

Algebra Seminar

8th March 2023, 2:30 pm – 3:30 pm

Fry Building, 2.04

(joint with Marco Linton)

I will describe how one can use some combination theorems for hyperbolic compact special groups and the L²-Freiheitssatz of Peterson—Thom to show that one-relator groups with torsion are virtually free-by-cyclic, where the free group might not be finitely generated. This confirms a conjecture of Baumslag.

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