In this paper we discuss the structure of some product G = AB of nilpotent subgroups A and B. In particular we prove that if G is a minimax soluble group or a finitely generated linear group and if it does not have non-trivial periodic normal subgroups, then G is metanilpotent.
On some products of nilpotent groups
DETOMI, ELOISA MICHELA
1998
Abstract
In this paper we discuss the structure of some product G = AB of nilpotent subgroups A and B. In particular we prove that if G is a minimax soluble group or a finitely generated linear group and if it does not have non-trivial periodic normal subgroups, then G is metanilpotent.
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