Subgroup series
In mathematics, specifically group theory, a subgroup series of a group formula_1 is a chain of subgroups:
:formula_2
where formula_3 is the trivial subgroup. Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important invariants of groups. A subgroup series is used in the subgroup method.

Subgroup series are a special example of the use of filtrations in abstract algebra.
Q395
mathematics
Concept
Q874429
group theory
Concept
Q83478
group
Concept
Q369377
chain
Concept
Q466109
subgroup
Concept
Q568687
trivial subgroup
Concept
None
several subgroup series
UNK
Q16965935
subgroup method
UNK
Q1187724
filtration
UNK
Q159943
abstract algebra
Concept
Q360830
Subgroup series
UNK
Q360830
Subgroup series
UNK
+1^^http://www.w3.org/2001/XMLSchema#decimal
1
NUMBER
+2^^http://www.w3.org/2001/XMLSchema#decimal
2
NUMBER
+3^^http://www.w3.org/2001/XMLSchema#decimal
3
NUMBER
subclass of
studies
part of
subclass of