#5287 ⟨a, b | aba=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
  3. ba ⇒ b4 
# ab:aba=bb,abbb=b b/a
bbbbbb=b
ab=bbbb
ba=bbbb

Staircase diagram

Right Cayley graph (truncated)

Other isomorphic instances

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

13 total

Σ#PresentationMapping
105291⟨a, b | aba=bb, babb=b⟩φ(a) = a, φ(b) = b
1112180⟨a, b | aaaa=ab, baaa=a⟩φ(a) = b, φ(b) = a
1114447⟨a, b | aaab=a, baabb=a⟩φ(a) = b, φ(b) = a
1114451⟨a, b | aaab=a, babab=a⟩φ(a) = b, φ(b) = a
1114453⟨a, b | aaab=a, babba=a⟩φ(a) = b, φ(b) = a
1114579⟨a, b | aaba=a, babab=a⟩φ(a) = b, φ(b) = a
1115758⟨a, b | aab=bb, ababa=b⟩φ(a) = a, φ(b) = b
1115912⟨a, b | aba=bb, aaabb=b⟩φ(a) = a, φ(b) = b
1115916⟨a, b | aba=bb, aabab=b⟩φ(a) = a, φ(b) = b
1115918⟨a, b | aba=bb, aabba=b⟩φ(a) = a, φ(b) = b
1115922⟨a, b | aba=bb, abaab=b⟩φ(a) = a, φ(b) = b
1115924⟨a, b | aba=bb, ababa=b⟩φ(a) = a, φ(b) = b
1115934⟨a, b | aba=bb, baaab=b⟩φ(a) = a, φ(b) = b