〈a, b | aaaa=1, baaab=a〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = a³
• b^-1 = a³ba³

Complete rewriting system

1. a⁴ ⇒ 1
2. ba³b ⇒ a

Right Cayley graph (truncated)

Left Cayley graph (truncated)