#4164 ⟨a, b | abb=aba, baa=a⟩

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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 ⇒ a2
  2. a3 ⇒ a
  3. ab2 ⇒ a 
# ab:abb=aba,baa=a ab
ba=aa
aaa=a
abb=a

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.

3 total

Σ#PresentationMapping
106407⟨a, b | aab=b, abbaa=b⟩φ(a) = b, φ(b) = a
106476⟨a, b | aba=a, baabb=a⟩φ(a) = a, φ(b) = b
106711⟨a, b | aab=b, bbaa=ab⟩φ(a) = b, φ(b) = a