#6342 ⟨a, b | aab=a, abbaa=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. ab ⇒ ac
  2. ca ⇒ ac
  3. cb ⇒ c2
  4. a2c ⇒ a
  5. ac2 ⇒ c 
# ab:aab=a,abbaa=a acb abb=c frequency:3/1
ab=ac
ca=ac
cb=cc
aac=a
acc=c

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
106623⟨a, b | aab=a, abba=ab⟩φ(a) = a, φ(b) = b