#4739 ⟨a, b | aabb=a, bbaa=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. b2 ⇒ c
  2. cb ⇒ bc
  3. ca ⇒ ac
  4. a2c ⇒ a
  5. a2ba ⇒ aba2
  6. a2bc ⇒ ab 
# ab:aabb=a,bbaa=a bac bb=c frequency:2/0
bb=c
cb=bc
ca=ac
aac=a
aaba=abaa
aabc=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.

2 total

Σ#PresentationMapping
1113051⟨a, b | baa=aab, aabb=b⟩φ(a) = b, φ(b) = a
1113059⟨a, b | baa=aab, baab=b⟩φ(a) = b, φ(b) = a