On Shift Dynamics for Cyclically Presented Groups Public Deposited

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  • 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.
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  • 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
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  • description.provenance : Submitted by Deanne Bruner (deanne.bruner@oregonstate.edu) on 2015-01-06T20:18:51Z No. of bitstreams: 1 BogleyWilliamMathematicsOnShiftDynamics.pdf: 467481 bytes, checksum: 2b610c65fd76513dbb71f9d75aa4aa29 (MD5)
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