Word.ws English Dictionary

abelian group

US/əˈbi.li.ən ɡɹup/

abelian group noun: a group in which the group operation is commutative.

Noun (1)

abelian group (plural abelian groups)

  1. A group in which the group operation is commutative.
    • Let G and H be partially ordered abelian groups. A positive homomorphism from G to H is any abelian group homomorphism f:G→H that maps positive elements to positive elements, that is, f(G⁺)⊆H⁺.1986, Partially Ordered Abelian Groups with Interpolation, American Mathematical Society, 2010 softcover reprint, page 12
    • Chapter 2 is a brief introduction to some fundamental techniques for countable torsion-free abelian groups.2000, David Arnold, Abelian Groups and Representations of Finite Partially Ordered Sets, Springer, Softcover reprint of 1st edition, page 74

Noun (2) capitalized: Abelian group

Abelian group (plural Abelian groups)

  1. Alternative letter-case form of abelian group.

abelian group meaning in Telugu

abelian group in Telugu

group in which the group operation is commutative
ఎబిలియన్ సమూహం ebiliyan samūhaṁ

Synonyms of abelian group

Forms of abelian group

pluralabelian groups
alternative formAbelian group
pluralAbelian groups

Origin of abelian group

Named in honour of Niels Henrik Abel (1802–1829), a Norwegian mathematician.

Words formed from abelian group

Questions about abelian group

What does abelian group mean?
Abelian group means a group in which the group operation is commutative.
What is abelian group in Telugu?
Abelian group in Telugu is ఎబిలియన్ సమూహం (ebiliyan samūhaṁ). See Abelian group meaning in Telugu.
What part of speech is abelian group?
Abelian group is a noun.
How do you pronounce abelian group?
Abelian group is pronounced /əˈbi.li.ən ɡɹup/ (US).
What is the plural of abelian group?
The plural of abelian group is abelian groups.

Words near abelian group in the dictionary

  1. abelia
  2. abelian
  3. abelian algebra
  4. abelian algebras
  5. abelian category
  6. abelian group
  7. abelian groups
  8. abelianisation
  9. abelianisations
  10. abelianise
  11. abelianised

Source and license

Adapted from Wiktionary: abelian group (page history and authors); Abelian group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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