〈a, b | aaaa=bb, bbbb=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = a³b²
• b^-1 = b³

Complete rewriting system

1. b²a ⇒ ab²
2. a⁴ ⇒ b²
3. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)