automorphism

noun

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

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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

Word History

Etymology

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.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/automorphism. Accessed 23 Dec. 2024.

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