#1438 ⟨a, b | babb=a, bbbb=1⟩

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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. b4 ⇒ 1
  2. ba ⇒ ab2 
# ab:babb=a,bbbb=1 b/a
bbbb=1
ba=abb

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.

4 total

Σ#PresentationMapping
1111067⟨a, b | abbb=bab, bbbb=1⟩φ(a) = a, φ(b) = b
1111094⟨a, b | babb=bba, bbbb=1⟩φ(a) = a, φ(b) = b
1117097⟨a, b | aaaa=1, aaabaa=b⟩φ(a) = b, φ(b) = a
1117632⟨a, b | aaaa=1, aabaa=ab⟩φ(a) = b, φ(b) = a

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

3 total

Σ#PresentationMapping
91508⟨a, b | aab=ba, aaaa=1⟩φ(a) = b, φ(b) = a
1111068⟨a, b | abbb=bba, bbbb=1⟩φ(a) = a, φ(b) = b
1117624⟨a, b | aaaa=1, aaaba=ab⟩φ(a) = b, φ(b) = a