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  • Author or Editor: Gheorghe Silberberg x
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Summary  

A group is called equilibratedif no subgroup Hof Gcan be written as a product of two non-normal subgroups of H. Blackburn, Deaconescu and Mann [1] investigated the finite equilibrated groups, giving a complete description of the non-soluble ones. On the other hand, they showed that the property of a finite nilpotent group of being equilibrated depends solely on the structure of its 2-generated p-subgroups. Consequently, all the finite 2-generated equilibrated p-groups were classified for any odd prime p,but the case p=2 remained unsolved. This special case will represent the subject of the present paper.

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