〈a, b | aaa=1, bbabbbb=a〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: right-to-left b/a

Inverses of generators

• a^-1 = a²
• b^-1 = b¹⁷

Complete rewriting system

1. b¹⁸ ⇒ 1
2. ab² ⇒ b⁸a
3. a³ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)