#2889 ⟨a, b | aa=a, babab=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. a2 ⇒ a
  2. b(ab)2 ⇒ b 
# ab:aa=a,babab=b ab
aa=a
babab=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.

3 total

Σ#PresentationMapping
108625⟨a, b | aa=a, baabab=b⟩φ(a) = a, φ(b) = b
1124153⟨a, b | aa=a, baaabab=b⟩φ(a) = a, φ(b) = b
1124157⟨a, b | aa=a, baabaab=b⟩φ(a) = a, φ(b) = b