#5205 ⟨a, b | aab=bb, abbb=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. b6 ⇒ b
  2. ab ⇒ b4 
# ab:aab=bb,abbb=b b/a
bbbbbb=b
ab=bbbb

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.

3 total

Σ#PresentationMapping
1114581⟨a, b | aaba=a, babba=a⟩φ(a) = b, φ(b) = a
1115744⟨a, b | aab=bb, aaabb=b⟩φ(a) = a, φ(b) = b
1115756⟨a, b | aab=bb, abaab=b⟩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.

8 total

Σ#PresentationMapping
1112166⟨a, b | aaaa=ab, aaab=a⟩φ(a) = b, φ(b) = a
1112168⟨a, b | aaaa=ab, aaba=a⟩φ(a) = b, φ(b) = a
1112172⟨a, b | aaaa=ab, abaa=a⟩φ(a) = b, φ(b) = a
1114423⟨a, b | aaab=a, aabbb=a⟩φ(a) = b, φ(b) = a
1114431⟨a, b | aaab=a, ababb=a⟩φ(a) = b, φ(b) = a
1114435⟨a, b | aaab=a, abbab=a⟩φ(a) = b, φ(b) = a
1114437⟨a, b | aaab=a, abbba=a⟩φ(a) = b, φ(b) = a
1114563⟨a, b | aaba=a, abbab=a⟩φ(a) = b, φ(b) = a