Automorphism: Difference between revisions
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In [[algebra]], an '''automorphism''' of an [[abstract algebra]]ic structure is an [[isomorphism]] of the structure with itself, that is, a [[permutation]] of the underlying set which respects all algebraic operations. | In [[algebra]], an '''automorphism''' of an [[abstract algebra]]ic structure is an [[isomorphism]] of the structure with itself, that is, a [[permutation]] of the underlying set which respects all algebraic operations. | ||
The automorphisms typically form a [[group theory|group]], the '''automorphism group''' of the structure. | The automorphisms typically form a [[group theory|group]], the '''automorphism group''' of the structure. | ||
==References== | |||
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Latest revision as of 06:00, 15 July 2024
In algebra, an automorphism of an abstract algebraic structure is an isomorphism of the structure with itself, that is, a permutation of the underlying set which respects all algebraic operations.
The automorphisms typically form a group, the automorphism group of the structure.