au·​to·​mor·​phism ˌȯ-tə-ˈmȯr-ˌfi-zəm How to pronounce automorphism (audio)
: an isomorphism of a set (such as a group) with itself

Examples of automorphism in a Sentence

Recent Examples on the Web And it’s known that whether the continuum hypothesis is true or false is related to whether there are very complicated automorphisms of that algebra or not. Steven Strogatz, Quanta Magazine, 19 Apr. 2023 Studying what’s called the automorphism group of that is something that a mathematician might ask about. Steven Strogatz, Quanta Magazine, 19 Apr. 2023

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'automorphism.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History


auto- + -morphism (in isomorphism)

First Known Use

1862, in the meaning defined above

Time Traveler
The first known use of automorphism was in 1862

Dictionary Entries Near automorphism

Cite this Entry

“Automorphism.” Dictionary, Merriam-Webster, Accessed 29 Nov. 2023.

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