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AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM

  • IAN AGOL (a1), DANIEL GROVES (a2) and JASON FOX MANNING (a3)
Abstract

We give an alternate proof of Wise’s malnormal special quotient theorem (MSQT), avoiding cubical small cancelation theory. We also show how to deduce Wise’s Quasiconvex Hierarchy Theorem from the MSQT and theorems of Hsu and Wise and Haglund and Wise.

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This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
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[Wis] Wise D. T., The structure of groups with a quasiconvex hierarchy, http://comet.lehman.cuny.edu/behrstock/cbms/program.html, unpublished manuscript.
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