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J. O. Button and R. P. Kropholler
Nonhyperbolic free-by-cyclic and one-relator groups view print
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| Published: |
August 1, 2016 |
| Keywords: |
Free-by-cyclic, 1-relator, CAT(0) |
| Subject: |
20F05, 57M20 |
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Abstract
We show that the free-by-cyclic groups of the form F2⋊ Z act
properly cocompactly on CAT(0) square complexes. We also show using
generalized Baumslag-Solitar groups that all known groups defined by
a 2-generator 1-relator presentation are either SQ-universal or are
cyclic or isomorphic to a soluble Baumslag-Solitar group.
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| Author information
J. O. Button:
Selwyn College, University of Cambridge, Cambridge CB3 9DQ, UK
j.o.button@dpmms.cam.ac.uk
R. P. Kropholler:
Mathematical Institute, University of Oxford, Oxford OX2 6GG, UK
Robert.Kropholler@maths.ox.ac.uk
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