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<a accesskey="3" href="page.php?w=Order_%28group_theory%29&amp;p=2">3.Next</a>
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<p>In <a href="page.php?w=mathematics">mathematics</a>, the <b>order</b> of a <a href="page.php?w=finite_group">finite group</a> is the number of its elements. If a <a href="page.php?w=group_%28mathematics%29">group</a> is not finite, one says that its order is infinite. The order of an element of a group (also called <b>period length</b> or <b>period</b>) is the order of the subgroup generated by the element. If the group operation is denoted as a <a href="page.php?w=multiplicative_group">multiplication</a>, the order of an element  of a group,</p><p>
<a accesskey="3" href="page.php?w=Order_%28group_theory%29&amp;p=2">3.Next</a>
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