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AN ALTERNATE PROOF OF WISE’S MALNORMAL SPECIAL QUOTIENT THEOREM

Part of: Special aspects of infinite or finite groups

Published online by Cambridge University Press:  12 January 2016

IAN AGOL ,
DANIEL GROVES  and
JASON FOX MANNING
IAN AGOL
Affiliation:
University of California, Berkeley, 970 Evans Hall #3840, Berkeley, CA 94720-3840, USA; ianagol@math.berkeley.edu
DANIEL GROVES
Affiliation:
Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, 322 Science and Engineering Offices (M/C 249), 851 S. Morgan St., Chicago, IL 60607-7045, USA; groves@math.uic.edu
JASON FOX MANNING
Affiliation:
Department of Mathematics, 310 Malott Hall, Cornell University, Ithaca, NY 14853, USA; jfmanning@math.cornell.edu

Abstract

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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.

MSC classification

Primary: 20F67: Hyperbolic groups and nonpositively curved groups
Type
Research Article
Information
Forum of Mathematics, Pi , Volume 4 , 2016 , e1
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Creative Commons
Creative Common License - CCCreative Common License - BY
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.
Copyright
© The Author(s) 2016

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