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〈a, b | aabb=1, abba=1〉
Monoid presentation of length 8
Properties
- Infinite non-Abelian group
Completion parameters
- Reduction order: left-to-right bac
- Auxiliary generator bb=c
Inverses of generators
- a-1 = ac
- b-1 = ba2
- c-1 = a2
Complete rewriting system
- b2 ⇒ c
- cb ⇒ bc
- ca ⇒ ac
- a2b ⇒ ba2
- a2c ⇒ 1
Right Cayley graph (truncated)
Left Cayley graph (truncated)
Other isomorphic instances
7 total
| Length: | Presentation: |
|---|
| 10 | 〈a, b | aabb=1, abbaa=a〉 |
| 10 | 〈a, b | aabb=1, baaba=a〉 |
| 10 | 〈a, b | aabb=1, bbaaa=a〉 |
| 10 | 〈a, b | abba=1, aabba=a〉 |
| 10 | 〈a, b | abba=1, aabbb=b〉 |
| 10 | 〈a, b | abba=1, abbab=b〉 |
| 10 | 〈a, b | abba=1, baabb=b〉 |