#5237 ⟨a, b | aba=aa, baab=b⟩

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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. aba ⇒ a2
  2. a4 ⇒ a2
  3. a3b ⇒ ab
  4. ba3 ⇒ ba
  5. ba2b ⇒ b 
# ab:aba=aa,baab=b ab
aba=aa
aaaa=aa
aaab=ab
baaa=ba
baab=b

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
1115834⟨a, b | aba=aa, babab=b⟩φ(a) = a, φ(b) = b