#3055 ⟨a, b | aababaaabab=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 = a2c2
- b-1 = aba4c
- c-1 = a3c
- Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
- Auxiliary generators:
- abab=c
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aababaaabab=1 ac/b abab=c morph:4/0
ca=ac
aaacc=1
cb=bc
aaab=baaa
bab=aaccc
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
4 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3058 | ⟨a, b | aababaababa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3189 | ⟨a, b | abaaababaab=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3207 | ⟨a, b | abaababaaab=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3231 | ⟨a, b | ababaaababa=1⟩ | φ(a) = a, φ(b) = b |