#3030 ⟨a, b | aa=a, babb=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. a2 ⇒ a
  2. bab ⇒ ab2
  3. ab3 ⇒ ab 
# ab:aa=a,babb=ab ab
aa=a
bab=abb
abbb=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.

5 total

Σ#PresentationMapping
108896⟨a, b | aa=a, baabb=ab⟩φ(a) = a, φ(b) = b
109171⟨a, b | aa=a, babb=aab⟩φ(a) = a, φ(b) = b
1124692⟨a, b | aa=a, baaabb=ab⟩φ(a) = a, φ(b) = b
1125227⟨a, b | aa=a, baabb=aab⟩φ(a) = a, φ(b) = b
1125701⟨a, b | aa=a, babb=aaab⟩φ(a) = a, φ(b) = b