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Difference between revisions of "Exponent of a group"

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The smallest positive integer <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036890/e0368901.png" /> such that in the given group the identity <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/e/e036/e036890/e0368902.png" /> holds.
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The smallest positive integer $n$ such that in the given group the identity $x^n=1$ holds.

Latest revision as of 20:06, 12 July 2014

The smallest positive integer $n$ such that in the given group the identity $x^n=1$ holds.

How to Cite This Entry:
Exponent of a group. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Exponent_of_a_group&oldid=18560
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article