Geodesic
A Note on Products of Normal Subgroups
Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 21-24

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By a group theoretic class we mean a class of groups which contains the trivial group, denoted E, and any group isomorphic to a group in the class. Let I be a group theoretic class. Following P. Hall [4, p. 533], we define EI, CI, SI, QI, and NoI to be the (group theoretic) classes consisting of extensions of I groups by I groups, cartesian products of I groups, subgroups of I groups, homorphic images of I groups and products of two normal I subgroups of a group, respectively. If T is one of the above operations on classes of groups and TI = I, we say X is T closed. 
Shores, T.S. A Note on Products of Normal Subgroups. Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 21-24. doi: 10.4153/CMB-1969-002-9
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