1. The problem statement, all variables and given/known data This is not really a question. More of an understanding issue. They have created a table for the alternating group of degree 4 in my book and I'm having trouble understanding it. http://gyazo.com/87980bef3669619796dda2f55a9d04d1 2. Relevant equations Cycle notation. 3. The attempt at a solution So I can understand why (1)(1) = (1), but for something like (12)(34)(12)(34) = (1) I am unsure of how they've done this and then later on they somehow get (123)(123) = (13)(12)(13)(12) = (132). The table in general is somewhat confusing to me. Any help with this one would be appreciated.