The normal closure of is the smallest normal subgroup of that contains , and so is also called the normal subgroup generated by .
The normal closure of in is variously denoted by or or .
If is a subgroup of , and is of finite index in its normal closure, then is said to be nearly normal.
|Date of creation||2013-03-22 14:41:50|
|Last modified on||2013-03-22 14:41:50|
|Last modified by||yark (2760)|
|Synonym||normal subgroup generated by|
|Synonym||smallest normal subgroup containing|