#1587 ⟨a, b | aaaababaa=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. ca4 ⇒ a4c
  2. ca3c ⇒ a
  3. aba ⇒ c
  4. cba ⇒ abc
  5. a2bc ⇒ abca
  6. acbc ⇒ abc2
  7. cabc ⇒ cbca
  8. c2bc ⇒ cbc2 
# ab:aaaababaa=a ac/b aba=c frequency:3/1
caaaa=aaaac
caaac=a
aba=c
cba=abc
aabc=abca
acbc=abcc
cabc=cbca
ccbc=cbcc

Right Cayley graph (truncated)

Left Cayley graph (truncated)