Geodesic
Metabelian Products of Groups
Algebra i logika, Tome 43 (2004) no. 3, pp. 341-352

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We prove a number of facts on metabelian products of metabelian groups, useful in algebraic geometry over groups. Namely, for a metabelian product of arbitrary metabelian groups, we look at the structure of a derived subgroup, and the Fitting radical; find criteria determining when a metabelian product of $u$-groups is again a $u$-group; and specify conditions under which a metabelian product of metabelian groups is a strong semidomain.
Keywords: metabelian group, metabelian product, derived subgroup, Fitting radical, strong semidomain.
Mots-clés : $u$-group 
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     author = {V. N. Remeslennikov and N. S. Romanovskii},
     title = {Metabelian {Products} of {Groups}},
     journal = {Algebra i logika},
     pages = {341--352},
     publisher = {mathdoc},
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     number = {3},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2004_43_3_a3/}
}
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V. N. Remeslennikov; N. S. Romanovskii. Metabelian Products of Groups. Algebra i logika, Tome 43 (2004) no. 3, pp. 341-352. http://geodesic.mathdoc.fr/item/AL_2004_43_3_a3/