Viewing topic: Isomorphism

See sub-topics for Isomorphism ... >> Mathematics >> Abstract Algebra >> Isomorphism

Highest Rated Sign

Video id: #3027 (enlarge)
Post date: 1/27/2014
Posted by: snickerway2much
Rating:
  • Currently 0.0/5 Stars.
  0 ratings
See all signs (1)

Isomorphism

  • Definition: An isomorphism f:G -> G' from a group G to a group G' is a bijective group homomorphism - a bijective map such that f(ab)=f(a)f(b) for all a and b in G.

    Source: Algebra, second edition by Michael Artin

  • Example: The exponential map e^x is an isomorphism, when it is viewed as a map from the additive group R,+ to its image, the multiplicative group of positive real numbers.

  • Listed under: Abstract Algebra, Algebraic Topology

  • There are no comments for this topic.