The class of groups having a series with finite factors is not quotient closed. In this note, we prove that if the group G has a series whose factors are finite and H is a locally nilpotent normal subgroup of G, then G/H also has a series whose factors are finite.
On Quotient of Groups having a Series with Finite Factors
NICOTERA, Chiara
2008
Abstract
The class of groups having a series with finite factors is not quotient closed. In this note, we prove that if the group G has a series whose factors are finite and H is a locally nilpotent normal subgroup of G, then G/H also has a series whose factors are finite.File in questo prodotto:
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