#3173 ⟨a, b | abaaaaabaab=1⟩
Quick links
- Properties
- Rewriting system
- Anti-isomorphic instances
- Presentation has sum-of-sides 11
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = a3c2b
- b-1 = ca3ca
- c-1 = a3cab
- Reduction order:
- Right-to-left recursive path with deg(c) = 0; deg(a) = 1; deg(b) = 2
- Auxiliary generators:
- aba=c
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:abaaaaabaab=1 reversed:c/a/b aba=c morph:3/0
caaacc=a
aaaacc=caaaca
caaacab=1
aaaacab=caaac
bc=aaccccb
ba=aaaccaaccccb
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3174 | ⟨a, b | abaaaaababa=1⟩ | φ(a) = a, φ(b) = b |