#590 ⟨a, b | aab=a, bba=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. ab ⇒ a2
  2. a3 ⇒ a
  3. b2a ⇒ a 
# ab:aab=a,bba=a ab
ab=aa
aaa=a
bba=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.

9 total

Σ#PresentationMapping
106368⟨a, b | aab=a, bbaab=a⟩φ(a) = a, φ(b) = b
106370⟨a, b | aab=a, bbaba=a⟩φ(a) = a, φ(b) = b
106395⟨a, b | aab=b, aabba=b⟩φ(a) = b, φ(b) = a
106419⟨a, b | aab=b, baaba=b⟩φ(a) = b, φ(b) = a
106646⟨a, b | aab=a, bbaa=aa⟩φ(a) = a, φ(b) = b
106651⟨a, b | aab=a, bbab=ab⟩φ(a) = a, φ(b) = b
106687⟨a, b | aab=b, abba=ab⟩φ(a) = b, φ(b) = a
106814⟨a, b | aab=a, bba=aab⟩φ(a) = a, φ(b) = b
106823⟨a, b | aab=b, bba=aab⟩φ(a) = b, φ(b) = a