#2295 ⟨a, b | abaaaab=baa⟩

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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. c2acb ⇒ abc
  2. ba2 ⇒ (ac)2b
  3. ca2 ⇒ (ac)2
  4. c(ac)2b ⇒ abac
  5. a(ac)2b ⇒ c
  6. a(cacb)2 ⇒ bc
  7. ((ac)2b)2 ⇒ bac 
# ab:abaaaab=baa bc/a abaa=c frequency:4/1
ccacb=abc
baa=acacb
caa=acac
cacacb=abac
aacacb=c
acacbcacb=bc
acacbacacb=bac

Right Cayley graph (truncated)

Left Cayley graph (truncated)