#2211 ⟨a, b | ba=ab, aaab=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. ba ⇒ ab
  2. a3b ⇒ b 
# ab:ba=ab,aaab=b ab
ba=ab
aaab=b

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.

6 total

Σ#PresentationMapping
92213⟨a, b | ba=ab, aaba=b⟩φ(a) = a, φ(b) = b
104676⟨a, b | aaab=b, aaba=b⟩φ(a) = a, φ(b) = b
104718⟨a, b | aaba=b, abaa=b⟩φ(a) = a, φ(b) = b
1112935⟨a, b | aba=aab, aaab=b⟩φ(a) = a, φ(b) = b
1112937⟨a, b | aba=aab, aaba=b⟩φ(a) = a, φ(b) = b
1112941⟨a, b | aba=aab, abaa=b⟩φ(a) = a, φ(b) = b