Changes

Example 2: the set of complex numbers {1, -1, <i>i</i>,<i>-i</i>} under multiplication, where <i>i</i> is the square root of -1, the basis of the [[imaginary number]]s. This group is [[isomorphism|isomorphic]] to <math> Z_{4} </math> under mod addition.

Example 2: the set of complex numbers {1, -1, <i>i</i>,<i>-i</i>} under multiplication, where <i>i</i> is the square root of -1, the basis of the [[imaginary number]]s. This group is [[isomorphism|isomorphic]] to <math> Z_{4} </math> under mod addition.

Groups are the appropriate mathematical structures for any application involving symmetry.

Groups are the appropriate mathematical structures for any application involving [[symmetry]].

[[Category:Algebra]]

[[Category:Algebra]]

[[category:mathematics]]

[[category:mathematics]]