| Up: | Monoids with two generators and one relation |
|---|---|
| Prev: | #1809 ⟨a, b | abbababba=a⟩ |
| Next: | #1811 ⟨a, b | abbabbbba=a⟩ |
| # | Rule | Proof |
|---|---|---|
| 1. | cbc ⇒ b | [3] |
| 2. | ab2a ⇒ c | [2] |
| 3. | ab2c ⇒ b2ca | [5] |
| 4. | cb2 ⇒ b2c | [4] |
| 5. | ab3 ⇒ b2cabc | [6] |
# ab:abbababba=b ac/b abba=c morph:4/0 cbc=b abba=c abbc=bbca cbb=bbc abbb=bbcabc
| Σ | # | Presentation | Description | Related |
|---|---|---|---|---|
| 8 | 315 | ⟨a, b | aabbabba=1⟩ | Infinite non-Abelian group | 2 iso |
| 8 | 471 | ⟨a, b | abaaba=bb⟩ | Infinite cancellative non-commutative monoid | |
| 10 | 2303 | ⟨a, b | abaaaba=bab⟩ | Infinite cancellative non-commutative monoid |