A group acts freely if there are no group fixed points. A point which is fixed by every group element would not be free to move.

See also

Effective Action, Free Action, Group, Group Action, Group Fixed Point, Group Orbit, Group Representation, Isotropy Group, Lie Group Quotient Space, Matrix Group, Topological Group, Transitive

This entry contributed by Todd Rowland

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Rowland, Todd. "Freely." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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