#16455 ⟨a, b | aba=bb, abab=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 ⇒ b2
  2. b2a ⇒ ab2
  3. b3 ⇒ b2
  4. a2b2 ⇒ b2
  5. bab2 ⇒ ab2 
# ab:aba=bb,abab=bb ab
aba=bb
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.

1 total

Σ#PresentationMapping
1116552⟨a, b | aba=bb, bbb=aba⟩φ(a) = a, φ(b) = b