〈a, b | aaaa=1, ababab=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = a³
• b^-1 = a(ba)²

Complete rewriting system

1. a⁴ ⇒ 1
2. b(ab)² ⇒ a³

Right Cayley graph (truncated)

Left Cayley graph (truncated)