Answer Happy

Posted: **Mon Jul 11, 2022 2:46 pm**

: 2 Let G Be The Group Of Orientable Symmetries Of The 3 Dimensional Unit Cube Prove That G Is Isomorphic To The Symmetr 1 (48.52 KiB) Viewed 45 times

2. Let G be the group of orientable symmetries of the 3-dimensional unit cube. Prove that G is isomorphic to the symmetric group S4. [Hint: The unit cube has four diagonals that pass through opposite corners, and G acts on the set of diagonals.]