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A finite group Formula: see text is said to be a Formula: see text group if for any Formula: see text-element subset Formula: see text of Formula: see text, Formula: see text. It is of interest to characterize the structure of Formula: see text groups for Formula: see text. The Formula: see text groups for Formula: see text have been investigated by several authors. In this paper, we give a complete characterization of Formula: see text 2-groups by showing there are five classes of such groups which are nontrivial and nonabelian.
Alhassan et al. (Thu,) studied this question.
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