#19733 ⟨a, b | aba=b, aabbb=bb⟩

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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 ⇒ b
  2. b2a ⇒ ab2
  3. b3 ⇒ b2
  4. a2b2 ⇒ b2
  5. bab2 ⇒ ab2 
# ab:aba=b,aabbb=bb ab
aba=b
bba=abb
bbb=bb
aabb=bb
babb=abb

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.

6 total

Σ#PresentationMapping
1119744⟨a, b | aba=b, ababb=bb⟩φ(a) = a, φ(b) = b
1119748⟨a, b | aba=b, abbab=bb⟩φ(a) = a, φ(b) = b
1119751⟨a, b | aba=b, abbba=bb⟩φ(a) = a, φ(b) = b
1119762⟨a, b | aba=b, baabb=bb⟩φ(a) = a, φ(b) = b
1119765⟨a, b | aba=b, babab=bb⟩φ(a) = a, φ(b) = b
1120285⟨a, b | aba=b, abab=bbb⟩φ(a) = a, φ(b) = b