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The document defines group isomorphisms, stating that two groups G1 and G2 are isomorphic if there exists a bijective map that preserves group operations. It provides examples of isomorphic groups, including real numbers under addition and positive reals under multiplication, and discusses properties of isomorphisms, such as preserving identities and orders of elements. Additionally, it outlines steps to prove isomorphism and presents various examples of cyclic groups.

Author

eklavyaadwait

Language

EN