〈a, b | aa=1, bbbbbbbbb=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = a
• b^-1 = b⁸

Complete rewriting system

1. a² ⇒ 1
2. b⁹ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)