#3004 ⟨a, b | aaabbbbbbba=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 = a3d
- b-1 = b6c
- c-1 = d
- d-1 = c
- Reduction order:
- Left-to-right shortlex with a < b < c < d
- Auxiliary generators:
- aaaa=c
- bbbbbbb=d
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaabbbbbbba=1 abcd aaaa=c,bbbbbbb=d magic:0
ca=ac
cb=bc
cd=1
da=ad
db=bd
dc=1
aaaa=c
bbbbbbb=d
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3166 | ⟨a, b | aabbbbbbbaa=1⟩ | φ(a) = a, φ(b) = b |