#2077 ⟨a, b | aab=b, bbaa=b⟩

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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. b2 ⇒ b
  2. a2b ⇒ b
  3. ba2 ⇒ b 
# ab:aab=b,bbaa=b ab
bb=b
aab=b
baa=b

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.

5 total

Σ#PresentationMapping
1112397⟨a, b | aaba=ba, bbaa=b⟩φ(a) = a, φ(b) = b
1118985⟨a, b | aab=b, aabbaa=b⟩φ(a) = a, φ(b) = b
1119033⟨a, b | aab=b, baabaa=b⟩φ(a) = a, φ(b) = b
1119553⟨a, b | aab=b, abbaa=ab⟩φ(a) = a, φ(b) = b
1120145⟨a, b | aab=b, bbaa=aab⟩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
1112446⟨a, b | aabb=aa, bbaa=a⟩φ(a) = b, φ(b) = a
1114713⟨a, b | aabb=a, bbaaa=a⟩φ(a) = b, φ(b) = a