#5380 ⟨a, b | aab=ab, baa=ab⟩

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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. ba4 ⇒ ba2
  2. ab ⇒ ba2 
# ab:aab=ab,baa=ab a/b
baaaa=baa
ab=baa

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
1116502⟨a, b | aab=ab, baa=aab⟩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.

2 total

Σ#PresentationMapping
1116219⟨a, b | aab=ba, aaba=ba⟩φ(a) = a, φ(b) = b
1116511⟨a, b | aab=ba, baa=aab⟩φ(a) = a, φ(b) = b