#5151 ⟨a, b | aab=ab, bbaa=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. b2 ⇒ b
  2. a2b ⇒ ab
  3. ba2 ⇒ b
  4. bab ⇒ b 
# ab:aab=ab,bbaa=b ab
bb=b
aab=ab
baa=b
bab=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
1115650⟨a, b | aab=ab, babaa=b⟩φ(a) = a, φ(b) = b