#5405 ⟨a, b | aab=bb, 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. a2b ⇒ b2
  2. aba ⇒ ab
  3. b2a ⇒ b2
  4. ab3 ⇒ ab2
  5. b4 ⇒ b3 
# ab:aab=bb,aba=ab ab
aab=bb
aba=ab
bba=bb
abbb=abb
bbbb=bbb

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
1116384⟨a, b | aba=ab, aaba=bb⟩φ(a) = a, φ(b) = b