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〈a, b | aaabababa=1〉
Monoid presentation of length 9
Properties
- Infinite non-Abelian group
Completion parameters
- Reduction order: left-to-right ca/d/b
- Auxiliary generator aaaa=c
- Auxiliary generator babab=d
Inverses of generators
- a-1 = da3
- b-1 = (cb)2da2
- c-1 = d
- d-1 = c
Complete rewriting system
- ac ⇒ ca
- a4 ⇒ c
- dc ⇒ 1
- cd ⇒ 1
- ad ⇒ da
- ab ⇒ cbda
- c3b ⇒ bc3
- db ⇒ c2bd3
- b(cb)2 ⇒ a2
Other isomorphic instances
2 total
| Length: | Presentation: |
| 9 | 〈a, b | aabababaa=1〉 |
| 9 | 〈a, b | ababaaaab=1〉 |
Other anti-isomorphic instances
1 total
| Length: | Presentation: |
| 9 | 〈a, b | abaaaabab=1〉 |