Difference between revisions of "Invariant subset"
From Encyclopedia of Mathematics
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| − | ''of a group | + | {{TEX|done}} |
| + | ''of a group $G$'' | ||
| − | A 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. |
Revision as of 15:56, 9 April 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=31463
Invariant subset. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Invariant_subset&oldid=31463
This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article