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〈a, b | aababba=1〉
Monoid presentation of length 7
Properties
- Infinite non-Abelian group
Completion parameters
- Reduction order: right-to-left cda/b
- Auxiliary generator aaa=c
- Auxiliary generator babb=d
Inverses of generators
- a-1 = da2
- b-1 = babc
- c-1 = d
- d-1 = c
Complete rewriting system
- dc ⇒ 1
- cd ⇒ 1
- ca ⇒ ac
- da ⇒ ad
- a3 ⇒ c
- b2c ⇒ a(ab)2
- babd ⇒ adb2
- bcba ⇒ cbab
- b2ac ⇒ a2(ba)2
- (ba)2d ⇒ adb2a
- b2a2 ⇒ a2dbcb
- baba2 ⇒ d(bc)2
- bab2 ⇒ d
Other isomorphic instances
1 total
| Length: | Presentation: |
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| 7 | 〈a, b | abbaaab=1〉 |
Other anti-isomorphic instances
2 total
| Length: | Presentation: |
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| 7 | 〈a, b | aabbaba=1〉 |
| 7 | 〈a, b | ababbba=1〉 |