Invariant subset

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