#13110 ⟨a, b | bbb=aaa, aaaa=a⟩

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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 ⇒ b3
  2. b3a ⇒ a
  3. ab3 ⇒ a
  4. b6 ⇒ b3 
# ab:bbb=aaa,aaaa=a ba
aaa=bbb
bbba=a
abbb=a
bbbbbb=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
1113113⟨a, b | bbb=aaa, aaab=b⟩φ(a) = b, φ(b) = a