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An alternate proof of Wise's Malnormal Special Quotient Theorem

Group Theory 2015-11-20 v2 Geometric Topology

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.

Keywords

Cite

@article{arxiv.1405.0726,
  title  = {An alternate proof of Wise's Malnormal Special Quotient Theorem},
  author = {Ian Agol and Daniel Groves and Jason Fox Manning},
  journal= {arXiv preprint arXiv:1405.0726},
  year   = {2015}
}

Comments

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