Geodesic
On a~method of constructing $C$-groups
Izvestiya. Mathematics , Tome 59 (1995) no. 4, pp. 765-783.

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The groups in question are the metabelian groups which can be given by defining relations $x^{-1}_\alpha x_\beta x_\alpha=x_\gamma$. We give a characterization and constructions of such groups under the assumption that all generators are conjugate. 
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Yu. V. Kuz'min. On a~method of constructing $C$-groups. Izvestiya. Mathematics , Tome 59 (1995) no. 4, pp. 765-783. http://geodesic.mathdoc.fr/item/IM2_1995_59_4_a5/

[1] Kulikov Vik. S., “Geometricheskaya realizatsiya $C$-grupp”, Izv. AN. Ser. matem., 58:4 (1994), 194–204

[2] Kervaire M. A., “On Higher Dimensional Knots”, Diff. Comb. Top., Princeton Univ. Press, 1965, 105–119 | MR | Zbl

[3] Gildenhuys D., “Classification of soluble groups of cohomological dimension two”, Math. Z., 166:1 (1979), 21–25 | DOI | MR | Zbl