# Invariant subset

From Encyclopedia of Mathematics

*of a group *

A subset of that contains together with each element of it all conjugate elements of in , that is, all elements of the form . 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=11995

This article was adapted from an original article by O.A. Ivanova (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article