#1604 ⟨a, b | aaa=bb, abb=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 ⇒ b2
  2. ab2 ⇒ a
  3. b2a ⇒ a
  4. b4 ⇒ b2 
# ab:aaa=bb,abb=a ab
aaa=bb
abb=a
bba=a
bbbb=bb

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
105074⟨a, b | aaa=bb, aaaa=a⟩φ(a) = a, φ(b) = b