Geodesic
Abelian and metabelian groups with regular automorphisms and semiautomorphisms
Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 727-738.

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In this paper we describe all abelian groups which can be expanded as the direct product of cyclic subgroups which have regular automorphisms of given prime order and also find the necessary and sufficient conditions for the existence of regular semiautomorphisms of prime order for metabelian groups the orders of the elements of which are bounded as a set. 
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     author = {M. M. Glukhov and S. V. Larin},
     title = {Abelian and metabelian groups with regular automorphisms and semiautomorphisms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {727--738},
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     year = {1972},
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     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a9/}
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M. M. Glukhov; S. V. Larin. Abelian and metabelian groups with regular automorphisms and semiautomorphisms. Matematičeskie zametki, Tome 12 (1972) no. 6, pp. 727-738. http://geodesic.mathdoc.fr/item/MZM_1972_12_6_a9/