simple group

A non-trivial group G is said to be simple if the only normal subgroupsMathworldPlanetmath of G are {1} and G itself.

Equivalently, a simple groupMathworldPlanetmathPlanetmath is a group in which the trivial subgroup is a maximal normal subgroup.

Title simple group
Canonical name SimpleGroup
Date of creation 2013-03-22 12:23:35
Last modified on 2013-03-22 12:23:35
Owner yark (2760)
Last modified by yark (2760)
Numerical id 9
Author yark (2760)
Entry type Definition
Classification msc 20E32
Related topic Group
Related topic NormalSubgroup
Defines simple