#2956 ⟨a, b | aaabbaaaabb=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 = a3b2cb
- c-1 = d
- d-1 = c
- Reduction order:
- Left-to-right recursive path with deg(c) = 0; deg(d) = 1; deg(a) = deg(b) = 2, a < b
- Auxiliary generators:
- aaaa=c
- bbaaabb=d
- Certificate: derivations of all rewriting rules from the defining relations.
# ab:aaabbaaaabb=1 c/d/ab aaaa=c,bbaaabb=d magic:0
dc=1
cd=1
ca=ac
da=ad
cccccccb=bccccccc
db=ccccccbddddddd
ba=acccccbddddd
cbb=bbc
aaaa=c
bbbb=add
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3099 | ⟨a, b | aabbaaaabba=1⟩ | φ(a) = a, φ(b) = b |