#1534 ⟨a, b | abbaabbbba=1⟩

Up:Monoids with two generators and one relation
Prev:#1532 ⟨a, b | abbaababba=1⟩
Next:#1536 ⟨a, b | abbababaab=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. a2 ⇒ c
  2. ad ⇒ da
  3. cd ⇒ 1
  4. ac ⇒ ca
  5. dc ⇒ 1
  6. bc ⇒ c2bd
  7. bd2 ⇒ d2b
  8. b2d ⇒ db2
  9. b6 ⇒ d2 
# ab:abbaabbbba=1 reversed:adc/b aa=c,bbbbaabb=d magic:0
aa=c
ad=da
cd=1
ac=ca
dc=1
bc=ccbd
bdd=ddb
bbd=dbb
bbbbbb=dd

Right Cayley graph (truncated)

Left Cayley graph (truncated)