#2791 ⟨a, b | aaaaaaabbba=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 = a7d
- b-1 = b2c
- c-1 = d
- d-1 = c
- Reduction order:
- Left-to-right shortlex with a < b < c < d
- Auxiliary generators:
- aaaaaaaa=c
- bbb=d
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaaaaaabbba=1 abcd aaaaaaaa=c,bbb=d magic:0
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
bbb=d
aaaaaaaa=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
3 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 2805 | ⟨a, b | aaaaaabbbaa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 2833 | ⟨a, b | aaaaabbbaaa=1⟩ | φ(a) = a, φ(b) = b |
| 11 | 2884 | ⟨a, b | aaaabbbaaaa=1⟩ | φ(a) = a, φ(b) = b |