#1410 ⟨a, b | aabaabbaba=1⟩

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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. db2c ⇒ 1
  2. cdb2 ⇒ 1
  3. bcd ⇒ cdb
  4. ca ⇒ badb2d
  5. b2a ⇒ adb2db4c2
  6. cba ⇒ abc
  7. da ⇒ badbdb2dc2
  8. dba ⇒ ac2
  9. aba ⇒ c 
# ab:aabaabbaba=1 bc/d/a aba=c,aca=d frequency:3/0,3/3
dbbc=1
cdbb=1
bcd=cdb
ca=badbbd
bba=adbbdbbbbcc
cba=abc
da=badbdbbdcc
dba=acc
aba=c

Right Cayley graph (truncated)

Left Cayley graph (truncated)