#5351 ⟨a, b | aaa=bb, bab=bb⟩

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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. a3 ⇒ b2
  2. bab ⇒ b2
  3. b2a ⇒ ab2
  4. ab3 ⇒ b3
  5. ba2b2 ⇒ b3
  6. b5 ⇒ b3 
# ab:aaa=bb,bab=bb ab
aaa=bb
bab=bb
bba=abb
abbb=bbb
baabb=bbb
bbbbb=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
1116488⟨a, b | aaa=bb, bab=aaa⟩φ(a) = a, φ(b) = b