#3056 ⟨a, b | aababaaabba=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 = c2
- b-1 = caba3
- c-1 = ca
- Reduction order:
- Left-to-right recursive path with deg(c) = deg(a) = 0, c < a; deg(b) = 1
- Auxiliary generators:
- baaab=c
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aababaaabba=1 ca/b baaab=c morph:5/1
ac=ca
cca=1
aab=cbcaaa
cccb=abccccc
bcab=cccccc
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3101 | ⟨a, b | aabbaaababa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3300 | ⟨a, b | abbbababbba=1⟩ | φ(a) = b, φ(b) = a |