Geodesic
Center of some solvable groups with one defining relation
Matematičeskie zametki, Tome 64 (1998) no. 6, pp. 925-931

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Necessary and sufficient conditions for the center of a metabelian group with one defining relation to be nontrivial are found. The center of such a group is described. The center of a group of the form $F/N'\langle g\rangle^F$ is studied under certain conditions. By means of a new technique, the recent result of A. F. Krasnikov and the author on the center of a group of the above form is sharpened. 
@article{MZM_1998_64_6_a12,
     author = {E. I. Timoshenko},
     title = {Center of some solvable groups with one defining relation},
     journal = {Matemati\v{c}eskie zametki},
     pages = {925--931},
     publisher = {mathdoc},
     volume = {64},
     number = {6},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_6_a12/}
}
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E. I. Timoshenko. Center of some solvable groups with one defining relation. Matematičeskie zametki, Tome 64 (1998) no. 6, pp. 925-931. http://geodesic.mathdoc.fr/item/MZM_1998_64_6_a12/