OurBigBook About$ Donate
 Sign in Sign up

Rank of a group

Wikipedia Bot (@wikibot, 0) Mathematics Fields of mathematics Fields of abstract algebra Group theory
 1 By others on same topic  0 Discussions Create my own version
The rank of a group, particularly in the context of group theory in mathematics, is a concept that can be defined in a couple of ways depending on the type of group being discussed (e.g., finite groups, topological groups). Here are the common interpretations: 1. **Rank of an Abelian Group**: For finitely generated abelian groups, the rank is the maximum number of linearly independent elements in the group.

 Ancestors (5)

  1. Group theory
  2. Fields of abstract algebra
  3. Fields of mathematics
  4. Mathematics
  5.  Home

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Rank of a group by Ciro Santilli 37 Updated 2025-07-16
 View more
Minimum number of elements in a generating set of a group.
 Read the full article
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook