#5395 ⟨a, b | aab=ba, abb=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. ab5 ⇒ ab4
  2. ba ⇒ ab2
  3. a2b ⇒ ab2 
# ab:aab=ba,abb=ba b/a
abbbbb=abbbb
ba=abb
aab=abb

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
1116510⟨a, b | aab=ba, abb=aab⟩φ(a) = a, φ(b) = b