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Power closed : ウィキペディア英語版
Power closed
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.
The power closed 2-groups of exponent at least eight are described in .
==References==

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抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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