#19175 ⟨a, b | aba=b, aaabbb=b⟩

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Quick links

  1. Properties
  2. Rewriting system
  3. Isomorphic instances

Properties

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
#RuleProof
1. ba6 ⇒ b [11]
2. ab ⇒ ba5 [10]
3. b3 ⇒ ba3 [8]
# ab:aba=b,aaabbb=b a/b
baaaaaa=b
ab=baaaaa
bbb=baaa

Isomorphic instances

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

9 total

Σ#PresentationMapping
1119185⟨a, b | aba=b, aabbab=b⟩φ(a) = a, φ(b) = b
1119203⟨a, b | aba=b, abbaab=b⟩φ(a) = a, φ(b) = b
1119215⟨a, b | aba=b, baaabb=b⟩φ(a) = a, φ(b) = b
1119732⟨a, b | aba=b, aabbb=ba⟩φ(a) = a, φ(b) = b
1119747⟨a, b | aba=b, abbab=ba⟩φ(a) = a, φ(b) = b
1119760⟨a, b | aba=b, baabb=ab⟩φ(a) = a, φ(b) = b
1120261⟨a, b | aba=b, aaab=bbb⟩φ(a) = a, φ(b) = b
1120296⟨a, b | aba=b, abbb=baa⟩φ(a) = a, φ(b) = b
1120307⟨a, b | aba=b, babb=aab⟩φ(a) = a, φ(b) = b