order of a group element
smallest positive integer such that, when used as exponent of the subject element, gives the group identity element
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order of a group element
Summary
order of a group element is an invariant[1]. It draws 2 Wikipedia views per month (invariant category, ranking #30 of 37).[2]
Key Facts
- order of a group element's instance of is recorded as invariant[3].
- order of a group element's subclass of is recorded as positive integer[4].
- order of a group element's part of is recorded as order[5].
- order of a group element's defining formula is recorded as \min{{m \in \mathbb{Z} \mid a^m = e \land m>0}}[6].
- order of a group element's Google Knowledge Graph ID is recorded as /g/11bc5_pkq8[7].
- order of a group element's maintained by WikiProject is recorded as WikiProject Mathematics[8].
- order of a group element's Metamath statement ID is recorded as df-od[9].
Why It Matters
order of a group element draws 2 Wikipedia views per month (invariant category, ranking #30 of 37).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[10] It is known by 10 alternative names across languages and contexts.[11]