#13004 ⟨a, b | abb=aab, abaa=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. ab ⇒ b2
  2. ba2 ⇒ b3
  3. b4 ⇒ b 
# ab:abb=aab,abaa=b ba
ab=bb
baa=bbb
bbbb=b

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.

11 total

Σ#PresentationMapping
1113028⟨a, b | abb=aba, baaa=a⟩φ(a) = b, φ(b) = a
1113032⟨a, b | abb=aba, baba=a⟩φ(a) = b, φ(b) = a
1113034⟨a, b | abb=aba, babb=a⟩φ(a) = b, φ(b) = a
1113068⟨a, b | baa=abb, aaba=a⟩φ(a) = b, φ(b) = a
1113070⟨a, b | baa=abb, aabb=a⟩φ(a) = b, φ(b) = a
1113071⟨a, b | baa=abb, aabb=b⟩φ(a) = a, φ(b) = b
1113072⟨a, b | baa=abb, abaa=a⟩φ(a) = b, φ(b) = a
1113073⟨a, b | baa=abb, abaa=b⟩φ(a) = a, φ(b) = b
1113075⟨a, b | baa=abb, abab=b⟩φ(a) = a, φ(b) = b
1113076⟨a, b | baa=abb, abba=a⟩φ(a) = b, φ(b) = a
1113079⟨a, b | baa=abb, abbb=b⟩φ(a) = a, φ(b) = b