#948 ⟨a, b | ab=a, bbba=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 ⇒ a
  2. b3a ⇒ a 
# ab:ab=a,bbba=a ab
ab=a
bbba=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.

12 total

Σ#PresentationMapping
92994⟨a, b | ab=a, bbbab=a⟩φ(a) = a, φ(b) = b
93129⟨a, b | ab=a, bbba=ab⟩φ(a) = a, φ(b) = b
105245⟨a, b | aba=ab, aaab=b⟩φ(a) = b, φ(b) = a
108830⟨a, b | ab=a, bbbabb=a⟩φ(a) = a, φ(b) = b
109101⟨a, b | ab=a, bbbab=ab⟩φ(a) = a, φ(b) = b
109371⟨a, b | ab=a, bbba=abb⟩φ(a) = a, φ(b) = b
1114478⟨a, b | aaab=b, aaaba=b⟩φ(a) = b, φ(b) = a
1115846⟨a, b | aba=ab, aaaba=b⟩φ(a) = b, φ(b) = a
1124570⟨a, b | ab=a, bbbabbb=a⟩φ(a) = a, φ(b) = b
1125097⟨a, b | ab=a, bbbabb=ab⟩φ(a) = a, φ(b) = b
1125639⟨a, b | ab=a, bbbab=abb⟩φ(a) = a, φ(b) = b
1125890⟨a, b | ab=a, bbba=abbb⟩φ(a) = a, φ(b) = b