#4084 ⟨a, b | baa=aab, abab=1⟩
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- Properties
- Rewriting system
- Isomorphic instances
- Presentation has sum-of-sides 10
- Infinite non-Abelian group
- Inverses of generators:
- a-1 = c
- b-1 = aba
- c-1 = a
- Auxiliary generators:
- c = bab
- Reduction order:
- Left-to-right recursive path with deg(a) = deg(c) = 0, a < c; deg(b) = 1
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:baa=aab,abab=1 ac/b bab=c morph:3/0
ac=1
ca=1
cb=abcc
aab=baa
bab=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 10 | 5917 | ⟨a, b | abab=1, abbba=b⟩ | φ(a) = b, φ(b) = a |