#2982 ⟨a, b | aaabbbaaabb=1⟩
Quick links
- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 11
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a2b5c
- b-1 = b4c2
- c-1 = b5c
- d-1 = c
- Reduction order:
- Left-to-right recursive path with deg(b) = deg(c) = 0, b < c; deg(a) = deg(d) = 1, a < d
- Auxiliary generators:
- aaa=c
- bbbaaabb=d
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaabbbaaabb=1 bc/ad aaa=c,bbbaaabb=d magic:0
cb=bc
bbbbbcc=1
ca=ac
bbbbba=abbbbb
d=bbbbbc
aaa=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3104 | ⟨a, b | aabbaaabbba=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3138 | ⟨a, b | aabbbaaabba=1⟩ | φ(a) = a, φ(b) = b |