An alternate proof of Wise's Malnormal Special Quotient Theorem

2014/05/04 by Ian Agol, Daniel Groves, Agol, Ian +3 · 1 citation
Mathematics · #FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR) #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.1405.0726

42 pages, 10 figures. Version 2 contains minor changes, addressing referee comments. To appear in Forum of Mathematics, Pi

arxiv created 2015/11/18 · arxiv updated 2015/11/20

Abstract

We give an alternate proof of Wise's Malnormal Special Quotient Theorem (MSQT), avoiding cubical small cancellation theory. We also show how to deduce Wise's Quasiconvex Hierarchy Theorem from the MSQT and theorems of Hsu--Wise and Haglund--Wise.

Cited by

• Superexponential distortion of free groups in virtually special Groups

Related

• The Gromov--Guth--Whitney embedding theorem
• A new proof of Nishioka's theorem in Mahler's method
• GIT characterizations of Harder-Narasimhan filtrations
• Inversion of adjunction for quotient singularities II: Non-linear actions
• Gromov-Witten theory of Deligne-Mumford stacks