#5305 ⟨a, b | aaa=aa, bab=aa⟩

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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 ⇒ a2
  2. ba2 ⇒ a2b
  3. bab ⇒ a2
  4. a2ba ⇒ a2b
  5. a2b2 ⇒ a2 
# ab:aaa=aa,bab=aa ab
aaa=aa
baa=aab
bab=aa
aaba=aab
aabb=aa

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
1116476⟨a, b | aaa=aa, bab=aaa⟩φ(a) = a, φ(b) = b