abelian
/əˈbi.li.ən/
"abelian" is a 7-letter English headword indexed on PlainSpell.
The verdict
“abelian” is uncommon English (frequency #59,161 among 3,931 “A” headwords), classed as an adjective. The kind of spelling people second-guess.
- #59,161
- frequency rank, English
- 3,931
- “A” headwords
According to Wiktionary data (CC BY-SA, analyzed September 3, 2026) - Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
Corpus desk
Index EN-abelian · abelian · English
abelian · rank #59,161 · 0 variants · 0 confusables
- FREQ-RARE #59,161
- LEN-LONG 7 letters
- VOW-4 4 vowels
- CONFUS-0 No pairs
- VAR-0 0 variants
- BOOK-MID 3,931
- PHOTO-FINISH AAPL
Nearest frequency peer: AAPL (-1 rank slots)
Read with this headword: Spelling guide for this pattern
Desk codes from Wiktionary headword shape, FrequencyWords rank tier, confusable-pair count, generated misspelling depth, letter-cohort book size, and photo-finish peer. Not a difficulty grade.
Long-tail ranks near “abelian”
Sparse band: bars invert rank so rarer forms read shorter
- AAPL
AAPL
40,841 corpus weight
- abelian
abelian
40,840 corpus weight
- Abell
Abell
40,839 corpus weight
- absolutist
absolutist
40,838 corpus weight
- Abyssinia
Abyssinia
40,836 corpus weight
- acclamation
acclamation
40,833 corpus weight
What this shows Long-tail view: where “abelian” sits against similarly uncommon English ranks.
| Property | Value |
|---|---|
| Headword | abelian |
| Language | English |
| Part of speech | Adjective |
| IPA | /əˈbi.li.ən/ |
| Letters | 7 |
| Frequency rank | #59,161 |
| Misspellings tracked | 0 |
| Confusable pairs | 0 |
| Source | Wiktionary (kaikki.org) |
Long-tail rank of “abelian” in English
Rare enough to double-check
abelian is uncommon English at frequency #59,161 among 3,931 “A” headwords, classed as anadjective, transcribed /əˈbi.li.ən/. Rarity is why readers land here mid-draft. 2 senses are on record.
Our edit-distance generator produced no likely misspellings for abelian, which points to an orthography that plays by predictable English rules. This entry stands alone in our confusable dataset, suggesting its spelling stands apart enough that readers rarely confuse it with something else.
Etymologically, the entry records: Name of the Norwegian mathematician Abel + -ian. The correct English form is abelian, spelled A-B-E-L-I-A-N.
Definition
- 1Of an algebraic structure (usually a group or algebra), having a commutative defining operation.
- 2Of a binary function, commutative.
Recorded use
Wiktionary exampleThese source excerpts show how abelian appears in context. They illustrate usage; the definition above remains the entry’s reference meaning.
The interesting aspect here is that U₃ is irreducible, even though all irreps over the complexes are one-dimensional because ℤ₄ is abelian.
Etymology
Name of the Norwegian mathematician Abel + -ian.
This word in other languages
Definitions, pronunciation, and etymology for this entry are drawn from Wiktionary via the kaikki.org structured extract (CC BY-SA); frequency ordering uses the FrequencyWords open word-frequency list (2018 English corpus, MIT). See the methodology for how each field is sourced and updated.
Frequently Asked Questions
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Similar English words by spelling shape
Same letter count and similar misspelling depth for "abelian", not the corpus desk frequency band.
Same letter count
Frequency-ranked English headwords with 7 letters (nearest by frequency rank).