#19614 ⟨a, b | aab=b, bbabb=ba⟩

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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. b5 ⇒ b2
  2. b4a ⇒ ba
  3. bab ⇒ b2a
  4. ba2 ⇒ b4
  5. a2b ⇒ b 
# ab:aab=b,bbabb=ba reversed:b/a
bbbbb=bb
bbbba=ba
bab=bba
baa=bbbb
aab=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
1119622⟨a, b | aab=b, bbbab=ba⟩φ(a) = a, φ(b) = b