#1520 ⟨a, b | ababbabaab=1⟩

Up:Monoids with two generators and one relation
Prev:#1519 ⟨a, b | ababbaabba=1⟩
Next:#1521 ⟨a, b | ababbabbba=1⟩

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. dc ⇒ cd
  2. c3d ⇒ 1
  3. d2a ⇒ ac9
  4. ca ⇒ dad2
  5. cda ⇒ ac3
  6. db ⇒ bc2
  7. c3b ⇒ bcd
  8. ab ⇒ c
  9. bda ⇒ c3 
# ab:ababbabaab=1 d/c/ab ab=c,bca=d frequency:2/0,3/0
dc=cd
cccd=1
dda=accccccccc
ca=dadd
cda=accc
db=bcc
cccb=bcd
ab=c
bda=ccc

Right Cayley graph (truncated)

Left Cayley graph (truncated)