#2081 ⟨a, b | aab=b, bbba=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. b5 ⇒ b
  2. ba ⇒ b3
  3. a2b ⇒ b 
# ab:aab=b,bbba=b b/a
bbbbb=b
ba=bbb
aab=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.

7 total

Σ#PresentationMapping
1112401⟨a, b | aaba=ba, bbba=b⟩φ(a) = a, φ(b) = b
1118989⟨a, b | aab=b, aabbba=b⟩φ(a) = a, φ(b) = b
1119037⟨a, b | aab=b, baabba=b⟩φ(a) = a, φ(b) = b
1119045⟨a, b | aab=b, bababa=b⟩φ(a) = a, φ(b) = b
1119061⟨a, b | aab=b, bbaaba=b⟩φ(a) = a, φ(b) = b
1119561⟨a, b | aab=b, abbba=ab⟩φ(a) = a, φ(b) = b
1120161⟨a, b | aab=b, bbba=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.

3 total

Σ#PresentationMapping
1112438⟨a, b | aabb=aa, baaa=a⟩φ(a) = b, φ(b) = a
1119017⟨a, b | aab=b, abbbaa=b⟩φ(a) = a, φ(b) = b
1119617⟨a, b | aab=b, bbbaa=ab⟩φ(a) = a, φ(b) = b