Geodesic
Completely solvable imbedding problems with Abelian kernel for local fields
Zapiski Nauchnykh Seminarov POMI, Rings and linear groups, Tome 75 (1978), pp. 67-73

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The imbedding problem for $p$-groups is considered in which the fields are assumed to be local and the kernel commutative. Additional conditions are investigated under which a solvable imbedding problem has a field as solution. Sufficient conditions are found for such solvability in the form of inequalities imposed on the number of generators of certain groups. Bibl. 5 titiles. 
@article{ZNSL_1978_75_a7,
     author = {O. M. Grigoryan and B. B. Lur'e},
     title = {Completely solvable imbedding problems with {Abelian} kernel for local fields},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {67--73},
     publisher = {mathdoc},
     volume = {75},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a7/}
}
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O. M. Grigoryan; B. B. Lur'e. Completely solvable imbedding problems with Abelian kernel for local fields. Zapiski Nauchnykh Seminarov POMI, Rings and linear groups, Tome 75 (1978), pp. 67-73. http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a7/