〈a, b | abab=1, aaaaaa=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right a/b

Inverses of generators

• a^-1 = a⁵
• b^-1 = aba

Complete rewriting system

1. a⁶ ⇒ 1
2. bab ⇒ a⁵

Right Cayley graph (truncated)

Left Cayley graph (truncated)