Automorphism group

English

Noun

1. Template:Lb The group of automorphisms of a given set or other mathematical object, with the group operation being function composition.

   Template:Ux

   Template:Ux

   • Template:Quote-book
   • Template:Quote-book
   • Template:Quote-book

Usage notes

• Especially in older literature, a subgroup of an automorphism group may be called a Template:M.
• The automorphism group of a field extension $L/K$ may be denoted $\text{Aut}(L/K)$; it consists of all automorphisms of L which leave K fixed.

Synonyms

• Template:L
  • Template:L Template:Qualifier

Hyponyms

• Template:L
• Template:L
• Template:L

See also

• Template:L Template:L Template:Qualifier

Further reading

• Template:Pedia
• Template:Pedia
• Template:Pedia
• Template:Pedia
• Template:Pedia
• Template:Pedia
• Algebraic system, automorphism of an on Template:W
• Automorphism Group on Template:W