#5375 ⟨a, b | aab=ab, aba=ba⟩

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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. ba ⇒ c
  3. bc ⇒ c2
  4. a2b ⇒ ab
  5. cab ⇒ cb 
# ab:aab=ab,aba=ba acb ba=c frequency:2/1
ac=c
ba=c
bc=cc
aab=ab
cab=cb

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
1116155⟨a, b | aab=ab, aaba=ba⟩φ(a) = a, φ(b) = b