#2361 ⟨a, b | abbbbba=bab⟩

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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. fg ⇒ gb
  2. eg ⇒ fb
  3. dg ⇒ eb
  4. cg ⇒ db
  5. ag ⇒ cb
  6. bf ⇒ g
  7. be ⇒ f
  8. bd ⇒ e
  9. bc ⇒ d
  10. ba ⇒ c
  11. bg2 ⇒ g2f
  12. bgf ⇒ g2e
  13. bge ⇒ g2d
  14. bgd ⇒ g2c
  15. bgc ⇒ g2a
  16. bgb ⇒ g2 
# ab:abbbbba=bab gfedcab ba=c,bc=d,bd=e,be=f,bf=g frequency:2/1,2/1,2/1,2/1,2/0
fg=gb
eg=fb
dg=eb
cg=db
ag=cb
bf=g
be=f
bd=e
bc=d
ba=c
bgg=ggf
bgf=gge
bge=ggd
bgd=ggc
bgc=gga
bgb=gg

Right Cayley graph (truncated)

Left Cayley graph (truncated)