Primitive Group Action

A primitive group action is transitive and it has no nontrivial group blocks. A transitive group action that is not primitive is called imprimitive. A group that has a faithful primitive group action is called a primitive group.

See also

Group, Group Block, Primitive Group, Socle, Transitive Group, Transitive Group Action

This entry contributed by Todd Rowland

Explore with Wolfram|Alpha

More things to try:

Cite this as:

Rowland, Todd. "Primitive Group Action." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/PrimitiveGroupAction.html

Subject classifications