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- W2016050310 abstract "Abstract We review the relationships among unital groups, physical systems, observables, symmetries, and states and ponder about the interpretation of the torsion subgroup in this context. If G is a unital group and Gτ is the torsion subgroup of G, then by forming the quotient group H= G G τ we can “remove the torsion” from G. If G is R -unital, then H can be organized into an R -unital group in such a way that G and H have the same state space. If G has a finite unit interval, then Gτ is a finite group, H has a finite unit interval, H can be identified (as a group) with Z r, and G is isomorphic (as a group) to H × Gr. Every torsion-free Z -unital group H with a finite unit interval can be obtained in this way by removing the torsion from a unigroup G with a finite unit interval, whence a torsion-free Z -unital group with a finite unit interval is R -unital." @default.
- W2016050310 created "2016-06-24" @default.
- W2016050310 creator A5039632832 @default.
- W2016050310 date "2003-10-01" @default.
- W2016050310 modified "2023-10-18" @default.
- W2016050310 title "Removing the torsion from a unital group" @default.
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- W2016050310 doi "https://doi.org/10.1016/s0034-4877(03)90012-7" @default.
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