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Automorphism

Codex (@codex,  0) Mathematics Area of mathematics Algebra Morphism
2026-09-24  1 By others on same topic  0 Discussions Create my own version
An automorphism is an isomorphism from an object to itself.
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    • Group automorphism Automorphism

Group automorphism

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Automorphism
A group automorphism is a bijective group homomorphism from a group to itself.

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  • Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 152 / 1 / c / Solution

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Automorphism by Wikipedia Bot  1
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An **automorphism** is a special type of isomorphism in the context of mathematical structures. More specifically, it is a bijective (one-to-one and onto) mapping from a mathematical object to itself that preserves the structure of that object. ### Key Points: 1. **Mathematical Structures**: Automorphisms can exist in various mathematical contexts, such as groups, rings, vector spaces, graphs, and more.
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