#2595 ⟨a, b | ababab=abba⟩

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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. c3b ⇒ cbc
  2. db ⇒ bc
  3. cd ⇒ c3
  4. ab ⇒ c
  5. ba ⇒ d
  6. ca ⇒ ad 
# ab:ababab=abba bc/d/a ab=c,ba=d frequency:2/0,2/3
cccb=cbc
db=bc
cd=ccc
ab=c
ba=d
ca=ad

Right Cayley graph (truncated)

Left Cayley graph (truncated)