Artin group
(Q3956993)
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
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
Language:
Current Data About
Artin group
| (P31) |
(Q24034552)
|
| (P138) |
(Q57283)
(Q451331) |
| (P279) |
(Q83478)
|
| (P2534) |
\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\})
|
| (P6104) |
(Q8487137)
|
other details
| aliases |
Artin–Tits group generalized braid group |
| description | 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 |
External Links
| (P268) |
18089552q
|
| (P646) |
/m/04w97_
|
| (P6366) |
201064014
|
| (P10283) |
C201064014
|