For a group and two subgroups, one says that they are conjugate subgroups if there exists an element such that the conjugation action by takes :
The equivalence classes under this relation are hence called the conjugacy classes of subgroups of . These play a key role in much of group theory and representation theory, for instance as parameters for group characters.
See also
Last revised on March 30, 2019 at 05:31:48. See the history of this page for a list of all contributions to it.