Viewing topic: Faithful

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

Highest Rated Sign

No video has been submitted for this term

Nobody has posted a sign yet.


  • Definition: If a permutation representation G -> Perm (S) is injective, then the corresponding operation is faithful. To be faithful, an operation must have the property that m_g, multiplication by g, is not the identity map unless g is the identity. In other words, an operation is faithful if it has the property: The only element g of G such that gs = s for every s in S is the identity.

    Source: Algebra, second edition by Michael Artin

  • There are no comments for this topic.