#5211 ⟨a, b | aab=bb, 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. b3 ⇒ b
  2. bab ⇒ b2a
  3. ba2 ⇒ b2
  4. a2b ⇒ b2 
# ab:aab=bb,baba=b ba
bbb=b
bab=bba
baa=bb
aab=bb

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.

2 total

Σ#PresentationMapping
1112370⟨a, b | aaba=ab, bbaa=a⟩φ(a) = b, φ(b) = a
1114783⟨a, b | abab=a, bbabb=a⟩φ(a) = b, φ(b) = a