〈a, b | aaa=1, bbbabbb=a〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = a²
• b^-1 = b⁵

Complete rewriting system

1. a³ ⇒ 1
2. b³a ⇒ ab³
3. b⁶ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)