#2720 ⟨a, b | abbba=abaab⟩

Up:Monoids with two generators and one relation
Prev:#2719 ⟨a, b | abbba=aabbb⟩
Next:#2721 ⟨a, b | abbba=ababa⟩

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. ca2b ⇒ abac
  2. cb2a ⇒ abac
  3. aba2b ⇒ c
  4. ab3a ⇒ c
  5. cba2b ⇒ ab3c
  6. cb3a ⇒ ab3c 
# ab:abbba=abaab abc abaab=c magic:0
caab=abac
cbba=abac
abaab=c
abbba=c
cbaab=abbbc
cbbba=abbbc

Right Cayley graph (truncated)

Left Cayley graph (truncated)