Question

what is isomorphism in group theory?

Answer 1

In abstract algebra, a group isomorphism is a function between two groups that sets up a one-to-one correspondence between the elements of the groups in a way that respects the given group operations. If there exists anisomorphism between two groups, then thegroups are called isomorphic.

Answer 2

Isomorphism is a very general concept that appears in several areas of mathematics. The word derives from the Greek iso, meaning"equal," and morphosis, meaning "to form" or "to shape." Formally, an isomorphism is bijective morphism. Informally, an isomorphism is a map that preserves sets and relations among elements.