Group isomorphism

In abstract algebra, a group isomorphism is a function between two groups that sets up a bijection between the elements of the groups in a way that respects the given group operations. If there exists an isomorphism between two groups, then the groups are called isomorphic. From the standpoint of group theory, isomorphic groups have the same properties and need not be distinguished.[1]

  1. ^ Barnard, Tony & Neil, Hugh (2017). Discovering Group Theory: A Transition to Advanced Mathematics. Boca Ratan: CRC Press. p. 94. ISBN 9781138030169.

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