Nonhyperbolic free-by-cyclic and one-relator groups
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
Authors
Button, JO
Kropholler, RP
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.
Description
Keywords
Free-by-cyclic, 1-relator, CAT(0)
Journal Title
The New York Journal of Mathematics
Conference Name
Journal ISSN
1076-9803
1076-9803
1076-9803
Volume Title
22
Publisher
Electronic Journals Project