〈a, b | aaaaa=1, bbbbb=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = a⁴
• b^-1 = b⁴

Complete rewriting system

1. a⁵ ⇒ 1
2. b⁵ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)