#2711 ⟨a, b | abbab=abbaa⟩

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Properties

Complete rewriting system

Format:
Word to reduce:
Tips:
  • Lowercase letters stand for generators.
  • Spaces are ignored.
  • Numbers repeat the previous letter, e.g. b90.
Reduction strategy:
Path to normal form: 1 
1
  1. cba2 ⇒ ab2c
  2. cbab ⇒ ab2c
  3. ab2a2 ⇒ c
  4. ab2ab ⇒ c
  5. cb2a2 ⇒ ab2ac
  6. cb2ab ⇒ ab2ac 
# ab:abbab=abbaa abc abbaa=c magic:0
cbaa=abbc
cbab=abbc
abbaa=c
abbab=c
cbbaa=abbac
cbbab=abbac

Right Cayley graph (truncated)

Left Cayley graph (truncated)