J. Aust. Math. Soc.
77 (2004), 165-174
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On groups with all subgroups almost subnormal
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Eloisa Detomi
Dipartimento di Matematica
Facoltà di Ingegneria
Università degli Studi di Brescia
via Valotti 9
25133 Brescia
Italia
detomi@ing.unibs.it
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Abstract
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In this paper we consider groups in which every
subgroup has finite index in the n th
term of its normal closure series, for a
fixed integer n.
We prove that such a group is the extension
of a finite normal subgroup by a nilpotent
group, whose class is bounded in terms of
n
only, provided it is either periodic or
torsion-free.
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