Geodesic
An automorphism with simple, continuous spectrum not having the group property
Matematičeskie zametki, Tome 5 (1969) no. 3, pp. 323-326 Cet article a éte moissonné depuis la source Math-Net.Ru

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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},
     journal = {Matemati\v{c}eskie zametki},
     pages = {323--326},
     year = {1969},
     volume = {5},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_3_a5/}
}
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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/