An~automorphism with simple, continuous spectrum not having the group property
Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 323-326.

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An example is constructed of an automorphism with simple and continuous spectrum which does not have the group property.
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     author = {V. I. Oseledets},
     title = {An~automorphism with simple, continuous spectrum not having the group property},
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     publisher = {mathdoc},
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     year = {1969},
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V. I. Oseledets. An~automorphism with simple, continuous spectrum not having the group property. Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 323-326. http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a5/