#2619 ⟨a, b | abbaab=abaa⟩

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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. cacb ⇒ cbac
  2. cbacb ⇒ cb2ac
  3. abacb ⇒ ab2ac
  4. ca2 ⇒ ab2ac
  5. cba2 ⇒ abac
  6. cb2a2b ⇒ abac
  7. aba2 ⇒ c
  8. ab2a2b ⇒ c 
# ab:abbaab=abaa reversed:b/ca abaa=c magic:0
cacb=cbac
cbacb=cbbac
abacb=abbac
caa=abbac
cbaa=abac
cbbaab=abac
abaa=c
abbaab=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)