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# Group isomorphism

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Given two mathematical groups (G, *) and (H, @) a group isomorphism from (G, *) to (H, @) is an isomorphism that preserves the operation, that is, it is a bijection h : G -> H such that for all u and v in G it holds that

  h(u) @ h(v) = h(u * v).

If there is a group isomorphism between two groups then these groups are called [group isomorphic]? or simply isomorphic.

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Last edited July 31, 2001 3:04 am (diff)
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