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〈a, b | aaaaabbba=1〉
Monoid presentation of length 9
Properties
- Infinite non-Abelian group
Completion parameters
- Reduction order: left-to-right abcd
- Auxiliary generator aaaaaa=c
- Auxiliary generator bbb=d
Inverses of generators
- a-1 = a5d
- b-1 = b2c
- c-1 = d
- d-1 = c
Complete rewriting system
- ca ⇒ ac
- cb ⇒ bc
- cd ⇒ 1
- da ⇒ ad
- db ⇒ bd
- dc ⇒ 1
- b3 ⇒ d
- a6 ⇒ c
Other isomorphic instances
2 total
| Length: | Presentation: |
|---|
| 9 | 〈a, b | aaaabbbaa=1〉 |
| 9 | 〈a, b | aaabbbaaa=1〉 |