#2927 ⟨a, b | aaababaaaab=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 = acab
- b-1 = a2ca
- c-1 = a2c(ca)2b
- Reduction order:
- Right-to-left recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
- Auxiliary generators:
- aabaaab=c
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aaababaaaab=1 reversed:ac/b aabaaab=c morph:7/0
aaacc=caaca
caacc=a
aacab=1
ba=acccab
bc=accccb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3177 | ⟨a, b | abaaaabaaab=1⟩ | φ(a) = a, φ(b) = b |