〈a, b | aababababa=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right cda/b
• Auxiliary generator aaa=c
• Auxiliary generator bababab=d

Inverses of generators

• a^-1 = da²
• b^-1 = (cb)³d
• c^-1 = d
• d^-1 = c

Complete rewriting system

1. cd ⇒ 1
2. dc ⇒ 1
3. ac ⇒ ca
4. ad ⇒ da
5. a³ ⇒ c
6. db ⇒ cbd²
7. ab ⇒ cbda
8. c²b ⇒ bc²
9. b(cb)³ ⇒ c

Other anti-isomorphic instances