Subgroup
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A subgroup (H,×H:H×H→H of a Group (G,×G:G×G→G) is a set H⊆G which is a group under the operation ×G restricted to H×H.
Definition
Given a group (G,×G:G×G→G) we say (H,×H:H×H→H) is a subgroup of (G,×G) if:
