〈a, b | aba=b, bbbbbb=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = bab⁵
• b^-1 = b⁵

Complete rewriting system

1. aba ⇒ b
2. b²a ⇒ ab²
3. b⁶ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)