#13234 ⟨a, b | baa=abb, bab=ba⟩

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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. ab3 ⇒ ab2
  2. ba ⇒ ab2
  3. a2b2 ⇒ ab2 
# ab:baa=abb,bab=ba b/a
abbb=abb
ba=abb
aabb=abb

Right Cayley graph (truncated)

Left Cayley graph (truncated)

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ#PresentationMapping
1116231⟨a, b | aab=ba, abab=ba⟩φ(a) = b, φ(b) = a
1116235⟨a, b | aab=ba, abba=ba⟩φ(a) = b, φ(b) = a