#6364 ⟨a, b | aab=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. a5 ⇒ a
  2. ba ⇒ a4
  3. ab ⇒ a4 
# ab:aab=a,babbb=a a/b
aaaaa=a
ba=aaaa
ab=aaaa

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.

4 total

Σ#PresentationMapping
106600⟨a, b | aab=a, aaaa=ba⟩φ(a) = a, φ(b) = b
106642⟨a, b | aab=a, babb=aa⟩φ(a) = a, φ(b) = b
106812⟨a, b | aab=a, bab=aaa⟩φ(a) = a, φ(b) = b
106830⟨a, b | aba=a, bab=aaa⟩φ(a) = a, φ(b) = b