Order of an element of a group
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7/7/2026, 11:57:58 AM · Sequoia
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The order of an element of a group is...1
The order of an element $x$ of a group $(G,\cdot)$ is the smallest positive integer $k$ such that $x^k=e$ where $e$ is the neutral element from $G$. For instance, the order of $e$ is $1$.2
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If this integer does not exist (in the case of infinite groups), we say that the order is infinite.Revision 260
7/7/2026, 10:32:16 AM · Ancient Tree
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The order of an element of a group is...