#2332 ⟨a, b | abababa=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. abc ⇒ cba
  2. ab2 ⇒ c
  3. a(ba)3 ⇒ c
  4. cb3a ⇒ cbc
  5. c(ba)3 ⇒ cb2
  6. cb3c ⇒ cbcb2
  7. cb4 ⇒ cbc(ba)2 
# ab:abababa=abb a/cb abb=c magic:0
abc=cba
abb=c
abababa=c
cbbba=cbc
cbababa=cbb
cbbbc=cbcbb
cbbbb=cbcbaba

Right Cayley graph (truncated)

Left Cayley graph (truncated)