#2701 ⟨a, b | abbaa=abaab⟩

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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 ⇒ abac
  2. ca2b ⇒ abac
  3. cacb ⇒ cbac
  4. aba2b ⇒ ab2a2
  5. abacb ⇒ ab2ac
  6. caca2 ⇒ ca3c
  7. ab2a2b ⇒ c
  8. cbaca2 ⇒ ab(ac)2
  9. ca4b ⇒ abaca2
  10. ca3cb ⇒ ab(ac)2
  11. ab2aca2 ⇒ ab2a3c
  12. ab2a4b ⇒ ca2
  13. ab2a3cb ⇒ cac 
# ab:abbaa=abaab bac abbaab=c frequency:6/0
cbaa=abac
caab=abac
cacb=cbac
abaab=abbaa
abacb=abbac
cacaa=caaac
abbaab=c
cbacaa=abacac
caaaab=abacaa
caaacb=abacac
abbacaa=abbaaac
abbaaaab=caa
abbaaacb=cac

Right Cayley graph (truncated)

Left Cayley graph (truncated)