#20662 ⟨a, b | ba=ab, aaabbb=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. ba ⇒ ab
  2. a3b3 ⇒ a 
# ab:ba=ab,aaabbb=a ab
ba=ab
aaabbb=a

Staircase diagram

Right Cayley graph (truncated)

Other isomorphic instances

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

9 total

Σ#PresentationMapping
1120667⟨a, b | ba=ab, aababb=a⟩φ(a) = a, φ(b) = b
1120670⟨a, b | ba=ab, aabbab=a⟩φ(a) = a, φ(b) = b
1120671⟨a, b | ba=ab, aabbab=b⟩φ(a) = b, φ(b) = a
1120672⟨a, b | ba=ab, aabbba=a⟩φ(a) = a, φ(b) = b
1120673⟨a, b | ba=ab, aabbba=b⟩φ(a) = b, φ(b) = a
1120678⟨a, b | ba=ab, ababab=a⟩φ(a) = a, φ(b) = b
1120679⟨a, b | ba=ab, ababba=a⟩φ(a) = a, φ(b) = b
1120680⟨a, b | ba=ab, ababba=b⟩φ(a) = b, φ(b) = a
1120681⟨a, b | ba=ab, abbaab=a⟩φ(a) = a, φ(b) = b