automorphism
noun
automorphism is a noun meaning “An isomorphism of a mathematical object or system of objects onto itself” (English Wiktionary, September 2026). It is spelled A-U-T-O-M-O-R-P-H-I-S-M, and it appears about once in every 12 million words in written English (wordfreq, 2021 data). The plural of automorphism is automorphisms.
What does automorphism mean?
noun
- 1
An isomorphism of a mathematical object or system of objects onto itself.
- 2
The ascription to others of one's own characteristics or of one's own perceived characteristics.
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How do you pronounce automorphism?
- US
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Recordings: LL-Q1860_(eng)-Flame,_not_lame-automorphism.wav, Wikimedia Commons (author and licence on each file's page).
Forms of automorphism
- automorphisms plural
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).
How common is automorphism?
Automorphism appears about once in every 12 million words in written English, the 102,771st most frequent word form in the list.
Source: written frequency: wordfreq 3.1 (a 2021 snapshot of Wikipedia, subtitles, news, books, web text and social media).
Automorphism in Spanish, French, German and Portuguese
In the sense isomorphism of a mathematical object or system of objects onto itself:
| Language | Words |
|---|---|
| French | automorphisme |
| German | Automorphismus |
| Portuguese | automorfismo |
| Spanish | automorfismo |
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract). Translations are Wiktionary's, by sense; a linked word has its own PlainSpell page.
Where does automorphism come from?
From auto- + morphism.
Source: English Wiktionary, dump of September 2, 2026 (CC BY-SA 4.0), through kaikki.org (Wiktextract).