#12288 ⟨a, b | aaab=ba, babb=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. a3 ⇒ a
  3. ab3 ⇒ a 
# ab:aaab=ba,babb=a ab
ba=ab
aaa=a
abbb=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
1112292⟨a, b | aaab=ba, bbab=a⟩φ(a) = a, φ(b) = b
1112368⟨a, b | aaba=ab, babb=a⟩φ(a) = a, φ(b) = b
1112398⟨a, b | aaba=ba, bbab=a⟩φ(a) = a, φ(b) = b
1118744⟨a, b | aaa=a, baabab=a⟩φ(a) = a, φ(b) = b
1119291⟨a, b | aaa=a, babab=aa⟩φ(a) = a, φ(b) = b