#26689 ⟨a, b | aa=1, babbbbab=b⟩

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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. a2 ⇒ 1
  2. bab ⇒ c
  3. cab ⇒ bac
  4. b2ac ⇒ bacb
  5. bcac ⇒ bac2
  6. cbac ⇒ cacb
  7. cb3 ⇒ b3c
  8. cb2c ⇒ b
  9. c2ac ⇒ cac2 
# ab:aa=1,babbbbab=b abc bab=c frequency:3/0
aa=1
bab=c
cab=bac
bbac=bacb
bcac=bacc
cbac=cacb
cbbb=bbbc
cbbc=b
ccac=cacc

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1126701⟨a, b | aa=1, bbababbb=b⟩φ(a) = a, φ(b) = b