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〈a, b | aaaabababa=1〉
Monoid presentation of length 10
Properties
- Infinite non-Abelian group
Completion parameters
- Reduction order: left-to-right ca/d/b
- Auxiliary generator aaaaa=c
- Auxiliary generator babab=d
Inverses of generators
- a-1 = da4
- b-1 = (cb)2da2
- c-1 = d
- d-1 = c
Complete rewriting system
- ac ⇒ ca
- a5 ⇒ c
- dc ⇒ 1
- cd ⇒ 1
- ad ⇒ da
- ab ⇒ cbda
- c4b ⇒ bc4
- db ⇒ c3bd4
- b(cb)2 ⇒ a3
Other isomorphic instances
2 total
| Length: | Presentation: |
|---|
| 10 | 〈a, b | aaabababaa=1〉 |
| 10 | 〈a, b | ababaaaaab=1〉 |