Group theory and generalizations Concept
Group isomorphism
Summary
A group isomorphism is a bijective group homomorphism. Two isomorphic groups have the same structure, and differ only in the names of their elements.
Where this leads
11 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Group_isomorphism, Definition and notation
About this page
| Tag | 08MG7H8JW5 |
|---|---|
| URI | m2://08MG7H8JW5 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 20A05 |
| Specializes | Group homomorphism |
| Same as |
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What links here
Definitions
Results about this
Special cases
Used by
- Mostow rigidity theorem
- Fundamental group of the circle
- Artin group
- Coxeter group
- Isomorphism of topological groups
- Finitely presented group
- Group isomorphism problem
- HNN extension
- Tietze transformations
- Bieberbach theorems
Instances
- The integers modulo 2 and the group of signs are isomorphic
- The exponential map from the additive reals to the positive reals