#22855 ⟨a, b | aaa=1, bbabb=abb⟩

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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. ac ⇒ c2
  2. a3 ⇒ 1
  3. c4 ⇒ c
  4. cbc3 ⇒ cb
  5. abc ⇒ cbc
  6. c3b ⇒ bc3
  7. b2 ⇒ c3 
# ab:aaa=1,bbabb=abb ca/b abb=c frequency:3/0
ac=cc
aaa=1
cccc=c
cbccc=cb
abc=cbc
cccb=bccc
bb=ccc

Right Cayley graph (truncated)

Left Cayley graph (truncated)