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Semipermutable subgroup
From Wikipedia, the free encyclopedia
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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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External links
- The Influence of semipermutable subgroups on the structure of finite groups
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