#2992 ⟨a, b | aaabbbbaaab=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 = bcb4a2
- b-1 = b2d
- c-1 = bcb4
- d-1 = b3
- Reduction order:
- Left-to-right recursive path with deg(b) = deg(d) = 0, b < d; deg(c) = deg(a) = 1, c < a
- Auxiliary generators:
- aaa=c
- cbcb=d
- Certificate: derivations of all rewriting rules from the defining relations.
- Morphocompletion: how the auxiliary generators were found.
# ab:aaabbbbaaab=1 bd/ca aaa=c,cbcb=d morph:3/0,4/0
db=bd
bbbd=1
dc=cd
bbbc=cbbb
cbc=bbdd
ac=ca
abc=bcbbbbabbdd
aaa=c
The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.
1 total
| Σ | # | Presentation | Mapping |
|---|
| 11 | 3028 | ⟨a, b | aabaaabbbba=1⟩ | φ(a) = a, φ(b) = b |