〈a, b | aaaa=1, babbb=a〉

Properties

• Finite non-Abelian group with 320 elements

Completion parameters

• Reduction order: left-to-right b/a

Inverses of generators

• a^-1 = a³
• b^-1 = b⁷⁹

Complete rewriting system

1. b⁸⁰ ⇒ 1
2. ba ⇒ ab⁷⁷
3. a⁴ ⇒ 1

Right Cayley graph

Left Cayley graph