Difference between revisions of "Invariant subset"
From Encyclopedia of Mathematics
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A subset $H$ of $G$ that contains together with each element $h$ of it all [[Conjugate elements|conjugate elements]] of $h$ in $G$, that is, all elements of the form $g^{-1}hg$. An invariant sub-semi-group is a sub-semi-group that is at the same time an invariant subset. | A subset $H$ of $G$ that contains together with each element $h$ of it all [[Conjugate elements|conjugate elements]] of $h$ in $G$, that is, all elements of the form $g^{-1}hg$. An invariant sub-semi-group is a sub-semi-group that is at the same time an invariant subset. | ||
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Revision as of 21:27, 15 November 2014
of a group $G$
A subset $H$ of $G$ that contains together with each element $h$ of it all conjugate elements of $h$ in $G$, that is, all elements of the form $g^{-1}hg$. An invariant sub-semi-group is a sub-semi-group that is at the same time an invariant subset.
How to Cite This Entry:
Invariant subset. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Invariant_subset&oldid=34542
Invariant subset. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Invariant_subset&oldid=34542
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article