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Semipermutable subgroup

From Wikipedia, the free encyclopedia

In mathematics, in algebra, in the realm of group theory, a subgroup of a finite group is said to be semipermutable if commutes with every subgroup whose order is relatively prime to that of .

Clearly, every permutable subgroup of a finite group is semipermutable. The converse, however, is not necessarily true.

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  • The Influence of semipermutable subgroups on the structure of finite groups