#19669 ⟨a, b | aba=a, ababb=aa⟩

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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 ⇒ a
  2. ab2 ⇒ a2 
# ab:aba=a,ababb=aa ab
aba=a
abb=aa

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
1120193⟨a, b | aba=a, aaba=abb⟩φ(a) = a, φ(b) = b
1120238⟨a, b | aba=a, babb=baa⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1120196⟨a, b | aba=a, aaba=bba⟩φ(a) = a, φ(b) = b