Artin group
group admitting a presentation whose relations are of the form stst…= tsts…, where both sides have equal lengths, such that there exists at most 1 relation for each pair of distinct generators s, t
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Artin group
Summary
Artin group is a mathematical concept[1]. It draws 25 Wikipedia views per month (mathematical_concept category, ranking #232 of 1,007).[2]
Key Facts
- Artin group's instance of is recorded as mathematical concept[3].
- Emil Artin is named after Artin group[4].
- Jacques Tits is named after Artin group[5].
- Artin group's Bibliothèque nationale de France ID is recorded as 18089552q[6].
- Artin group's subclass of is recorded as group[7].
- Artin group's Freebase ID is recorded as /m/04w97_[8].
- Artin group's defining formula is recorded as \langle t_1,t_2,\dotsc | \underbrace{t_it_jt_it_j\dotsm}{m{ij}} = \underbrace{t_jt_it_jt_i\dotsm}{m{ij}}\rangle\qquad(m_{ij}\in{2,3,\dotsc,\infty})[9].
- Artin group's maintained by WikiProject is recorded as WikiProject Mathematics[10].
- Artin group's Microsoft Academic ID is recorded as 201064014[11].
- Artin group's OpenAlex ID is recorded as C201064014[12].
Why It Matters
Artin group draws 25 Wikipedia views per month (mathematical_concept category, ranking #232 of 1,007).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[13]