Isomorphic Groups (original) (raw)

TOPICS

Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology

Alphabetical Index New in MathWorld

• Algebra
• Group Theory
• Group Properties

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

See also

Jordan-Hölder Theorem

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References

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. https://mathworld.wolfram.com/IsomorphicGroups.html

Subject classifications

• Algebra
• Group Theory
• Group Properties