Isomorphic Groups

Two groups are isomorphic if the correspondence between them is one-to-one and the "multiplication" table is preserved. For example, the point groups C_2 and D_1 are isomorphic groups, written C_2=D_1 or C_2<->D_1 (Shanks 1993).

See also

Jordan-Hölder Theorem

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Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, 1993.

Referenced on Wolfram|Alpha

Isomorphic Groups

Cite this as:

Weisstein, Eric W. "Isomorphic Groups." From MathWorld--A Wolfram Web Resource.

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