Subquotient
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This article is about a standard (though not very rudimentary) definition in group theory. The article text may, however, contain more than just the basic definition
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Definition
Symbol-free definition
A subquotient of a group is a quotient of a subgroup of the group by a normal subgroup of that subgroup.
Definition with symbols
Let be a group. A subquotient of is a group of the form where is a subgroup of and is a normal subgroup of .
Alternative names
Subquotients are also called:
- Involved groups
- Sections: This is not to be confused with the other use of the word section as a system of coset representatives.