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- W2043188419 startingPage "154" @default.
- W2043188419 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." @default.
- W2043188419 created "2016-06-24" @default.
- W2043188419 creator A5007022911 @default.
- W2043188419 date "2014-11-01" @default.
- W2043188419 modified "2023-10-17" @default.
- W2043188419 title "On shift dynamics for cyclically presented groups" @default.
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- W2043188419 doi "https://doi.org/10.1016/j.jalgebra.2014.07.009" @default.
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