Assertion: abelian group's subgroup | /r/HasProperty | important
Facets:
value: in gut physics
type: OTHER
value: in understanding the group
type: OTHER
Source sentences:
text: The subgroup test is a necessary and sufficient condition for a nonempty subset H of a group G to be a subgroup: it is sufficient to check that g−1h ∈ H for all elements g, h ∈ H. Knowing the subgroups is important in understanding the group as a whole.[d]
text: Normal subgroups are important because they (and only they) can be used to construct quotient groups of the given group.
text: Subgroups of SU(n) that are important in GUT physics are, for p > 1, n