#18926 ⟨a, b | aab=a, babbbb=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. a6 ⇒ a
  2. ba ⇒ a5
  3. ab ⇒ a5 
# ab:aab=a,babbbb=a a/b
aaaaaa=a
ba=aaaaa
ab=aaaaa

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.

5 total

Σ#PresentationMapping
1119378⟨a, b | aab=a, aaaaa=ba⟩φ(a) = a, φ(b) = b
1119468⟨a, b | aab=a, babbb=aa⟩φ(a) = a, φ(b) = b
1119925⟨a, b | aab=a, aaaa=bab⟩φ(a) = a, φ(b) = b
1120008⟨a, b | aab=a, babb=aaa⟩φ(a) = a, φ(b) = b
1120180⟨a, b | aba=a, aaaa=bab⟩φ(a) = a, φ(b) = b