#1757 ⟨a, b | abaaababa=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. cbc2 ⇒ c2bc
  2. ac ⇒ ca
  3. abc2 ⇒ cabc
  4. cbca ⇒ c2ba
  5. a2 ⇒ c
  6. abca ⇒ caba
  7. cb(ab)2c ⇒ a
  8. c(ab)3c ⇒ c
  9. c(ba)3 ⇒ (ab)3c
  10. ca(ba)3 ⇒ a 
# ab:abaaababa=a reversed:c/ba aa=c frequency:2/0
cbcc=ccbc
ac=ca
abcc=cabc
cbca=ccba
aa=c
abca=caba
cbababc=a
cabababc=c
cbababa=abababc
cabababa=a

Right Cayley graph (truncated)

Left Cayley graph (truncated)