#8630 ⟨a, b | aa=a, babbab=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. a2 ⇒ a
  2. ba ⇒ ab
  3. ab4 ⇒ a 
# ab:aa=a,babbab=a ab
aa=a
ba=ab
abbbb=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.

6 total

Σ#PresentationMapping
1115719⟨a, b | aab=ba, babbb=a⟩φ(a) = a, φ(b) = b
1115731⟨a, b | aab=ba, bbbab=a⟩φ(a) = a, φ(b) = b
1115887⟨a, b | aba=ab, babbb=a⟩φ(a) = a, φ(b) = b
1124160⟨a, b | aa=a, baabbab=a⟩φ(a) = a, φ(b) = b
1124166⟨a, b | aa=a, bababab=a⟩φ(a) = a, φ(b) = b
1124707⟨a, b | aa=a, babbab=aa⟩φ(a) = a, φ(b) = b