- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:58
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
4
2010
3
Special groups with an elementary hierarchy are virtually free-by-ℤ
Mark
Hagen
University of Cambridge, CAMBRIDGE, UNITED KINGDOM
Daniel
Wise
McGill University, MONTREAL, CANADA
Free-by-cyclic groups, limit groups, right-angled Artin groups, hierarchies
Let G be a group with a hierarchy whose edge groups at each level are cyclic. We show that when G is also word-hyperbolic, then G is virtually free-by-cyclic. In particular, this holds for groups splitting as graphs of free groups with cyclic edge groups unless they have Baumslag–Solitar subgroups that are not virtually products.
Group theory and generalizations
General
597
603
10.4171/GGD/96
http://www.ems-ph.org/doi/10.4171/GGD/96