automorphism

noun
au·​to·​mor·​phism | \ˌȯ-tə-ˈmȯr-ˌfi-zəm \

Definition of automorphism 

: an isomorphism of a set (such as a group) with itself

First Known Use of automorphism

1862, in the meaning defined above

History and Etymology for automorphism

aut- + isomorphism

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The first known use of automorphism was in 1862

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