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Unformatted text preview: G which is also a group w.r.t. the same operation. A conjugacy class is the maximum collection of conjugated elements. Each group can be split up in conjugacy classes. Some theorems: All classes are completely disjoint. E is a class itself: for each other element in this class would hold: A = XEX-1 = E . E is the only class which is also a subgroup because all other classes have no unit element. In an Abelian group each element is a separate class. The physical interpretation of classes: elements of a group are usually symmetry operations which map a symmetrical object into itself. Elements of one class are then the same kind of operations. The opposite need not to be true....
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This note was uploaded on 01/30/2011 for the course PHYSICS 208 taught by Professor Ye during the Spring '10 term at Blinn College.
- Spring '10