#1398 ⟨a, b | aabaaababa=1⟩

Up:Monoids with two generators and one relation
Prev:#1395 ⟨a, b | aabaaaabab=1⟩
Next:#1399 ⟨a, b | aabaaababb=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. ac ⇒ ca
  2. a3 ⇒ c
  3. dc ⇒ 1
  4. cd ⇒ 1
  5. ad ⇒ da
  6. ab ⇒ cbda
  7. c2b ⇒ bc2
  8. db ⇒ cbd2
  9. b(cb)2 ⇒ da2 
# ab:aabaaababa=1 ca/d/b aaa=c,babaaab=d magic:0
ac=ca
aaa=c
dc=1
cd=1
ad=da
ab=cbda
ccb=bcc
db=cbdd
bcbcb=daa

Right Cayley graph (truncated)

Left Cayley graph (truncated)