#2210 ⟨a, b | ba=ab, aaab=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. a3b ⇒ a 
# ab:ba=ab,aaab=a ab
ba=ab
aaab=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
92212⟨a, b | ba=ab, aaba=a⟩φ(a) = a, φ(b) = b
104661⟨a, b | aaab=a, baaa=a⟩φ(a) = a, φ(b) = b
1112948⟨a, b | aba=aab, baaa=a⟩φ(a) = a, φ(b) = b
1113046⟨a, b | baa=aab, aaab=a⟩φ(a) = a, φ(b) = b
1113048⟨a, b | baa=aab, aaba=a⟩φ(a) = a, φ(b) = b