Difference between revisions of "Automorphism"
From Encyclopedia of Mathematics
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An [[Isomorphism|isomorphism]] (isomorphic mapping) of a system of objects onto itself. The totality of all automorphisms of an arbitrary algebraic system forms a group, and the study of this group is an important and powerful tool in the study of the properties of the system itself (cf. [[Algebraic system, automorphism of an|Algebraic system, automorphism of an]]). | An [[Isomorphism|isomorphism]] (isomorphic mapping) of a system of objects onto itself. The totality of all automorphisms of an arbitrary algebraic system forms a group, and the study of this group is an important and powerful tool in the study of the properties of the system itself (cf. [[Algebraic system, automorphism of an|Algebraic system, automorphism of an]]). | ||
Latest revision as of 20:25, 3 May 2014
An isomorphism (isomorphic mapping) of a system of objects onto itself. The totality of all automorphisms of an arbitrary algebraic system forms a group, and the study of this group is an important and powerful tool in the study of the properties of the system itself (cf. Algebraic system, automorphism of an).
How to Cite This Entry:
Automorphism. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Automorphism&oldid=12546
Automorphism. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Automorphism&oldid=12546