Word.ws English Dictionary

cyclic group

cyclic group noun: a group generated by a single element.

cyclic group: a group generated by a single element
Image: Jakob.scholbach Vector: Pbroks13, CC BY-SA 3.0, via Wikimedia Commons

Noun

cyclic group (plural cyclic groups)

  1. A group generated by a single element.
    • Proposition 1.5.6. Any subgroup of an infinite cyclic group is also an infinite cyclic group.1986, N. S. Gopalakrishnan, University Algebra, New Age International, 2nd Edition, page 22
    • If u#58;G#95;1#92;rightarrow#92;mathbb#123;Z#125;#47;m#92;mathbb#123;Z#125; and v#58;G#95;2#92;rightarrow#92;mathbb#123;Z#125;#47;m#92;mathbb#123;Z#125; are isomorphisms of two cyclic groups with #92;mathbb#123;Z#125;#47;m#92;mathbb#123;Z#125;, then...2002, Serge Lang, Algebra, 3rd edition, Springer, page 24

cyclic group meaning in Tamil

cyclic group in Tamil

சுழல் குலம்

Synonyms of cyclic group

Forms of cyclic group

pluralcyclic groups

Questions about cyclic group

What does cyclic group mean?
Cyclic group means a group generated by a single element.
What is cyclic group in Tamil?
Cyclic group in Tamil is சுழல் குலம். See Cyclic group meaning in Tamil.
What part of speech is cyclic group?
Cyclic group is a noun.
What is the plural of cyclic group?
The plural of cyclic group is cyclic groups.

Words near cyclic group in the dictionary

  1. cyclewear
  2. cycli
  3. cyclic
  4. cyclic chorus
  5. cyclic choruses
  6. cyclic group
  7. cyclic groups
  8. cyclic module
  9. cyclic modules
  10. cyclic nucleotide
  11. cyclic nucleotides

Source and license

Adapted from Wiktionary: cyclic group (page history and authors); cyclic group (Tamil Wiktionary) (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.

Last updated:

Cite this entry: “cyclic group.” Word.ws, https://word.ws/cyclic_group. Based on Wiktionary, CC BY-SA 4.0.