#4666 ⟨a, b | aaab=a, baba=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. aba ⇒ a2b
  2. b2a ⇒ bab
  3. a3b ⇒ a
  4. ba2b ⇒ b 
# ab:aaab=a,baba=b ab
aba=aab
bba=bab
aaab=a
baab=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.

3 total

Σ#PresentationMapping
104670⟨a, b | aaab=a, bbaa=b⟩φ(a) = a, φ(b) = b
104709⟨a, b | aaba=a, baba=b⟩φ(a) = a, φ(b) = b
104713⟨a, b | aaba=a, bbaa=b⟩φ(a) = a, φ(b) = b