〈a, b | abaabbaab=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right bac
• Auxiliary generator abaabbabaabb=c

Inverses of generators

• a^-1 = a²c²
• b^-1 = a²ba²c
• c^-1 = a³c

Complete rewriting system

1. cb ⇒ bc
2. ca ⇒ ac
3. ba²b ⇒ ac
4. a³b ⇒ ba³
5. a³c² ⇒ 1