The ‘condition’ in the (probably unfortunate) title is that a
subgroup either is normal or coincides with its own normalizer. The
‘system’ bit refers to the fact that this condition is not
necessarily imposed to all subgroups, but maybe only to some of them.
A more recent paper (also) dealing with the same condition (but for finite groups
only) is by M.G. Bianchi, A. Gillio, M. Herzog and L. Verardi
(J. Group Theory, vol. 3 (2000), p. 147–156).
The ‘condition’ in the (probably unfortunate) title is that a subgroup either is normal or coincides with its own normalizer. The ‘system’ bit refers to the fact that this condition is not necessarily imposed to all subgroups, but maybe only to some of them. A more recent paper (also) dealing with the same condition (but for finite groups only) is by M.G. Bianchi, A. Gillio, M. Herzog and L. Verardi (J. Group Theory, vol. 3 (2000), p. 147–156).
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