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〈a, b | ba=ab, aaabbb=1〉
Monoid presentation of length 10
Properties
- Isomorphic to ℤ3 ⊕ ℤ
- Isomorphic to commutative presentation: 〈a, b | 3a+3b=0〉
Completion parameters
- Reduction order: left-to-right ab
Inverses of generators
Complete rewriting system
- ba ⇒ ab
- a3b3 ⇒ 1
Right Cayley graph (truncated)
Other isomorphic instances
6 total
| Length: | Presentation: |
|---|
| 10 | 〈a, b | ba=ab, aababb=1〉 |
| 10 | 〈a, b | ba=ab, aabbab=1〉 |
| 10 | 〈a, b | ba=ab, aabbba=1〉 |
| 10 | 〈a, b | ba=ab, ababab=1〉 |
| 10 | 〈a, b | ba=ab, ababba=1〉 |
| 10 | 〈a, b | ba=ab, abbaab=1〉 |