#1803 ⟨a, b | abbaabaab=a⟩

Up:Monoids with two generators and one relation
Prev:#1801 ⟨a, b | abbaaabba=a⟩
Next:#1804 ⟨a, b | abbaabaab=b⟩

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. c3b ⇒ cbc2
  2. cbc2b ⇒ c
  3. ac2b ⇒ abc2
  4. abc2b ⇒ a
  5. ca ⇒ babc3
  6. ba2 ⇒ c
  7. a3 ⇒ abc3 
# ab:abbaabaab=a bc/a baa=c frequency:3/0
cccb=cbcc
cbccb=c
accb=abcc
abccb=a
ca=babccc
baa=c
aaa=abccc

Right Cayley graph (truncated)

Left Cayley graph (truncated)