〈a, b | abbba=1, aaaaaa=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right a/b

Inverses of generators

• a^-1 = a⁵
• b^-1 = b²a²

Complete rewriting system

1. a⁶ ⇒ 1
2. a²b ⇒ ba²
3. b³ ⇒ a⁴

Right Cayley graph (truncated)

Left Cayley graph (truncated)