#2811 ⟨a, b | aaaaabaaaba=1⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 11
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a2b2c
- b-1 = b3c3
- c-1 = b4c2
- 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:
- aaaaaa=c
- baaab=d
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaaaabaaaba=1 bc/ad aaaaaa=c,baaab=d magic:0
cb=bc
bbbbccc=1
ca=ac
bba=abb
d=bbbbcc
aaa=bbcc
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
4 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 2843 | ⟨a, b | aaaabaaabaa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 2899 | ⟨a, b | aaabaaaaaab=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 2906 | ⟨a, b | aaabaaabaaa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3006 | ⟨a, b | aabaaaaaaba=1⟩ | φ(a) = a, φ(b) = b |