#5331 ⟨a, b | aaa=ab, bba=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. a6 ⇒ a3
  2. ab ⇒ a3
  3. b2a ⇒ a2 
# ab:aaa=ab,bba=aa a/b
aaaaaa=aaa
ab=aaa
bba=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.

2 total

Σ#PresentationMapping
1116287⟨a, b | aab=bb, aabb=ba⟩φ(a) = b, φ(b) = a
1116311⟨a, b | aab=bb, baab=ba⟩φ(a) = b, φ(b) = a