Word.ws English Dictionary

profinite groups

profinite groups is the plural of profinite group.

Meaning of profinite group

Noun

profinite group (plural profinite groups)

  1. A topological group that is isomorphic to the inverse limit of some inverse system of discrete finite groups; equivalently, a topological group that is also a Stone space.
    • This proposition shows that to have a representation with big image of a profinite group, for example, a Galois group, we need to take a profinite topological ring A as a coefficient ring, like the p-adic integer ring #92;Z#95;p.2000, Haruzo Hida, Modular Forms and Galois Cohomology, Cambridge University Press, page 28

Questions about profinite groups

What is profinite groups the plural of?
Profinite groups is the plural of profinite group.

Words near profinite groups in the dictionary

  1. profilometrically
  2. profilometries
  3. profilometry
  4. profinite
  5. profinite group
  6. profinite groups
  7. profisetinidin
  8. profit
  9. profit a prendre
  10. profit and loss
  11. profit and loss statement

Source and license

Adapted from Wiktionary: profinite groups (page history and authors); profinite 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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