Record Details
On Shift Dynamics for Cyclically Presented Groups
ScholarsArchive at Oregon State University
| Field | Value |
|---|---|
| Title | On Shift Dynamics for Cyclically Presented Groups |
| Names |
Bogley, William A.
(creator) |
| Date Issued | 2014-11-15 (iso8601) |
| Note | This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier and can be found at: http://www.journals.elsevier.com/journal-of-algebra/ |
| Abstract | A group defined by a finite presentation with cyclic symmetry admits a shift automorphism that is periodic and word-length preserving. It is shown that if the presentation is combinatorially aspherical and orientable, in the sense that no relator is a cyclic permutation of the inverse of any of its shifts, then the shift acts freely on the non-identity elements of the group presented. For cyclic presentations defined by positive words of length at most three, the shift defines a free action if and only if the presentation is combinatorially aspherical and the shift itself is fixed point free if and only if the group presented is infinite. |
| Genre | Article |
| Topic | Cyclically presented group |
| Identifier | Bogley, W. A. (2014). On Shift Dynamics For Cyclically Presented Groups. Journal of Algebra, 418, 154-173. doi:10.1016/j.jalgebra.2014.07.009 |
