〈a, b | abba=bb, bbbb=1〉

Properties

• Infinite non-Abelian group

Completion parameters

• Reduction order: left-to-right ab

Inverses of generators

• a^-1 = b²ab²
• b^-1 = b³

Complete rewriting system

1. ab²a ⇒ b²
2. b⁴ ⇒ 1

Right Cayley graph (truncated)

Left Cayley graph (truncated)