#4653 ⟨a, b | aaab=a, abaa=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. ca ⇒ ac
  2. a2c ⇒ a
  3. ac2 ⇒ c
  4. ab ⇒ c
  5. cb ⇒ c3 
# ab:aaab=a,abaa=a ac/b ab=c frequency:2/0
ca=ac
aac=a
acc=c
ab=c
cb=ccc

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
1112934⟨a, b | aba=aab, aaab=a⟩φ(a) = a, φ(b) = b
1112936⟨a, b | aba=aab, aaba=a⟩φ(a) = a, φ(b) = b
1112940⟨a, b | aba=aab, abaa=a⟩φ(a) = a, φ(b) = b