Geodesic
To the question of full transitivity of a cotorsion hull
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 75-80
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We discuss the topic of full transitivity of the cotorsion hull of Р° separable $p$-group. This topic plays a significant role in the description of the lattice of fully invariant subgroups of a group. A condition is established, the fulfillment of which makes the cotorsion hull not fully transitive. 
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T. G. Kemoklidze. To the question of full transitivity of a cotorsion hull. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 75-80. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a7/

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