#3079 ⟨a, b | aababbabaab=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 = bab2c2
- b-1 = db
- c-1 = b2c2
- d-1 = b2
- Reduction order:
- Left-to-right recursive path with deg(d) = deg(b) = deg(c) = 0, d < b < c; deg(a) = 1
- Auxiliary generators:
- aba=c
- ccc=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aababbabaab=1 dbc/a aba=c,ccc=d morph:3/0,3/0
bd=db
cd=dc
dbb=1
cbb=bbc
ccc=d
cba=abc
cca=dbaccb
aba=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
2 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3212 | ⟨a, b | abaababbaba=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 3258 | ⟨a, b | ababbabbaba=1⟩ | φ(a) = b, φ(b) = a |