#5345 ⟨a, b | aaa=bb, abb=aa⟩

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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. b6 ⇒ b2
  2. ab2 ⇒ b4
  3. b2a ⇒ b4
  4. a2 ⇒ b4 
# ab:aaa=bb,abb=aa b/a
bbbbbb=bb
abb=bbbb
bba=bbbb
aa=bbbb

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
1116045⟨a, b | aaa=bb, aaaa=aa⟩φ(a) = a, φ(b) = b
1116285⟨a, b | aab=bb, aabb=aa⟩φ(a) = b, φ(b) = a
1116309⟨a, b | aab=bb, baab=aa⟩φ(a) = b, φ(b) = a