#4737 ⟨a, b | aabb=a, baba=a⟩

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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. ab2 ⇒ b2a
  2. aba ⇒ ba2
  3. b2a2 ⇒ a 
# ab:aabb=a,baba=a ba
abb=bba
aba=baa
bbaa=a

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
1113053⟨a, b | baa=aab, abab=b⟩φ(a) = b, φ(b) = a