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Subgroups


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The null set


The null set, [Equation goes here - download the original to see it.] , is a subset of very set, but it may not be a group under the group binary operation. Therefore, strictly speaking, if we are demonstrating that one set is a subgroup of another group, we should check that the set in question is not the null set.
Contents of
Subgroups

1 Subgroups
2 The null set

Related articles: (1) Homomorphisms, (2) Lagange's theorem