#5374 ⟨a, b | aab=ab, aba=ab⟩

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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. ac ⇒ c
  2. ab ⇒ c
  3. ca ⇒ c
  4. cb ⇒ c2 
# ab:aab=ab,aba=ab acb ab=c frequency:2/1
ac=c
ab=c
ca=c
cb=cc

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
1116154⟨a, b | aab=ab, aaba=ab⟩φ(a) = a, φ(b) = b
1116382⟨a, b | aba=ab, aaba=ab⟩φ(a) = a, φ(b) = b
1116499⟨a, b | aab=ab, aba=aab⟩φ(a) = a, φ(b) = b