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<a accesskey="3" href="page.php?w=group_%28mathematics%29&amp;p=2">3.Next</a>
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<p><a href="page.php?w=Image%3ARubik%27s_cube.svg">thumb</a>In <a href="page.php?w=mathematics">mathematics</a>, a <b>group</b> is a <a href="page.php?w=Set_%28mathematics%29">set</a> with an <a href="page.php?w=Binary_operation">operation</a> that combines any two elements of the set to produce a third element within the same set and the following conditions must hold: the operation is <a href="page.php?w=Associative_property">associative</a>, it has an <a href="page.php?w=identity_element">identity element</a>, and every element of the set has</p><p>
<a accesskey="3" href="page.php?w=group_%28mathematics%29&amp;p=2">3.Next</a>
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