#19009 ⟨a, b | aab=b, abbaaa=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. b4 ⇒ b
  2. bab ⇒ ab3
  3. a2b ⇒ b
  4. ba3 ⇒ ab2 
# ab:aab=b,abbaaa=b b/a
bbbb=b
bab=abbb
aab=b
baaa=abb

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
1119601⟨a, b | aab=b, bbaaa=ab⟩φ(a) = a, φ(b) = b