#1631 ⟨a, b | aab=ab, bba=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. ba ⇒ b
  2. b2 ⇒ b
  3. a2b ⇒ ab 
# ab:aab=ab,bba=b ab
ba=b
bb=b
aab=ab

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
105147⟨a, b | aab=ab, baba=b⟩φ(a) = a, φ(b) = b
1115646⟨a, b | aab=ab, baaba=b⟩φ(a) = a, φ(b) = b