Group theory and generalizations Foundations Concept
Order of a group
Summary
The order of a group is the number of its elements. A group with infinitely many elements has infinite order.
Where this leads
14 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Order_(group_theory), lead section
About this page
| Tag | 0B85S2V2DR |
|---|---|
| URI | m2://0B85S2V2DR |
| Kind | concept |
| Writing | W1 stated |
| MSC | 20A05 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Results about this
- Groups of prime order are cyclic
- Order of an element divides the order of the group
- Lagrange's theorem