#19005 ⟨a, b | aab=b, ababba=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. a2b ⇒ b
  2. ba2 ⇒ b
  3. bab2 ⇒ aba
  4. b3a ⇒ (ab)3
  5. b(ba)2 ⇒ ab2ab
  6. (ba)3 ⇒ ab3
  7. b5 ⇒ b 
# ab:aab=b,ababba=b reversed:a/b
aab=b
baa=b
babb=aba
bbba=ababab
bbaba=abbab
bababa=abbb
bbbbb=b

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
1119593⟨a, b | aab=b, babba=ab⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

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

2 total

Σ#PresentationMapping
1119013⟨a, b | aab=b, abbaba=b⟩φ(a) = a, φ(b) = b
1119609⟨a, b | aab=b, bbaba=ab⟩φ(a) = a, φ(b) = b