#4184 ⟨a, b | bab=aaa, bba=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. a10 ⇒ a2
  2. ab ⇒ ba3
  3. b2a ⇒ a 
# ab:bab=aaa,bba=a a/b
aaaaaaaaaa=aa
ab=baaa
bba=a

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
106692⟨a, b | aab=b, abbb=ba⟩φ(a) = b, φ(b) = a