#12982 ⟨a, b | abb=aaa, baab=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. ba ⇒ ab
  2. ab2 ⇒ a3
  3. a4 ⇒ a 
# ab:abb=aaa,baab=a ab
ba=ab
abb=aaa
aaaa=a

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.

5 total

Σ#PresentationMapping
1113080⟨a, b | bab=aaa, aaaa=a⟩φ(a) = a, φ(b) = b
1113086⟨a, b | bab=aaa, aabb=a⟩φ(a) = a, φ(b) = b
1113088⟨a, b | bab=aaa, abab=a⟩φ(a) = a, φ(b) = b
1113090⟨a, b | bab=aaa, abba=a⟩φ(a) = a, φ(b) = b
1113094⟨a, b | bab=aaa, baab=a⟩φ(a) = a, φ(b) = b