# Semipermutable subgroup

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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.

## External links

- The semipermutable subgroup and finite nilpotent group
- The Influence of semipermutable subgroups on the structure of finite groups