#2992 ⟨a, b | ab=a, bbbaa=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. a2 ⇒ a
  2. ab ⇒ a
  3. b3a ⇒ a 
# ab:ab=a,bbbaa=a ab
aa=a
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.

14 total

Σ#PresentationMapping
108826⟨a, b | ab=a, bbbaab=a⟩φ(a) = a, φ(b) = b
108828⟨a, b | ab=a, bbbaba=a⟩φ(a) = a, φ(b) = b
109097⟨a, b | ab=a, bbbaa=ab⟩φ(a) = a, φ(b) = b
1114785⟨a, b | abab=a, bbbaa=a⟩φ(a) = a, φ(b) = b
1115601⟨a, b | aab=aa, bbbaa=a⟩φ(a) = a, φ(b) = b
1118944⟨a, b | aab=a, bbbaaa=a⟩φ(a) = a, φ(b) = b
1119489⟨a, b | aab=a, bbbaa=ab⟩φ(a) = a, φ(b) = b
1120035⟨a, b | aab=a, bbba=abb⟩φ(a) = a, φ(b) = b
1124562⟨a, b | ab=a, bbbaabb=a⟩φ(a) = a, φ(b) = b
1124566⟨a, b | ab=a, bbbabab=a⟩φ(a) = a, φ(b) = b
1124568⟨a, b | ab=a, bbbabba=a⟩φ(a) = a, φ(b) = b
1125089⟨a, b | ab=a, bbbaab=ab⟩φ(a) = a, φ(b) = b
1125093⟨a, b | ab=a, bbbaba=ab⟩φ(a) = a, φ(b) = b
1125631⟨a, b | ab=a, bbbaa=abb⟩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.

1 total

Σ#PresentationMapping
1119660⟨a, b | aba=a, aabbb=ba⟩φ(a) = a, φ(b) = b