Power closed

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In mathematics a p-group G is called power closed if for every section H of G the product of p^k powers is again a p^kth power.

Regular p-groups are an example of power closed groups. On the other hand powerful p-groups, for which the product of p^k powers is again a p^kth power are not power closed, as this property does not hold for all sections of powerful p-groups.

See also: order closed