#2602 ⟨a, b | ababba=aabb⟩

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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. a2b2 ⇒ c
  2. abab2a ⇒ c
  3. abab2c ⇒ cab2
  4. cbab2a ⇒ cab2
  5. c(ab2)2 ⇒ cbab2c
  6. cab(b2a)2 ⇒ cbab2c
  7. cab3ab2c ⇒ cbab2cab2 
# ab:ababba=aabb bac aabb=c magic:0
aabb=c
ababba=c
ababbc=cabb
cbabba=cabb
cabbabb=cbabbc
cabbbabba=cbabbc
cabbbabbc=cbabbcabb

Right Cayley graph (truncated)

Left Cayley graph (truncated)