#2890 ⟨a, b | aa=a, babbb=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. ab12 ⇒ a
  2. ba ⇒ ab9
  3. a2 ⇒ a 
# ab:aa=a,babbb=a b/a
abbbbbbbbbbbb=a
ba=abbbbbbbbb
aa=a

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.

6 total

Σ#PresentationMapping
108626⟨a, b | aa=a, baabbb=a⟩φ(a) = a, φ(b) = b
108902⟨a, b | aa=a, babbb=aa⟩φ(a) = a, φ(b) = b
1115655⟨a, b | aab=ab, babbb=a⟩φ(a) = a, φ(b) = b
1124154⟨a, b | aa=a, baaabbb=a⟩φ(a) = a, φ(b) = b
1124699⟨a, b | aa=a, baabbb=aa⟩φ(a) = a, φ(b) = b
1125240⟨a, b | aa=a, babbb=aaa⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

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

2 total

Σ#PresentationMapping
1115667⟨a, b | aab=ab, bbbab=a⟩φ(a) = a, φ(b) = b
1115899⟨a, b | aba=ab, bbbab=a⟩φ(a) = a, φ(b) = b