#6274 ⟨a, b | aaa=a, bbabb=a⟩

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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. a3 ⇒ a
  2. a2c ⇒ c
  3. ab ⇒ c
  4. cba2 ⇒ cb
  5. c2b ⇒ acbca
  6. cacb ⇒ cbaca2
  7. b2a ⇒ acba
  8. b2c ⇒ acbc
  9. cb2 ⇒ cbac
  10. (cb)2 ⇒ a2 
# ab:aaa=a,bbabb=a ac/b ab=c frequency:2/2
aaa=a
aac=c
ab=c
cbaa=cb
ccb=acbca
cacb=cbacaa
bba=acba
bbc=acbc
cbb=cbac
cbcb=aa

Right Cayley graph (truncated)

Left Cayley graph (truncated)