#56 ⟨a, b | aa=a, ab=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. ab ⇒ b 
# ab:aa=a,ab=b ab
aa=a
ab=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.

5 total

Σ#PresentationMapping
7238⟨a, b | aa=a, aab=b⟩φ(a) = a, φ(b) = b
8883⟨a, b | aa=a, aaab=b⟩φ(a) = a, φ(b) = b
92859⟨a, b | aa=a, aaaab=b⟩φ(a) = a, φ(b) = b
108571⟨a, b | aa=a, aaaaab=b⟩φ(a) = a, φ(b) = b
1124047⟨a, b | aa=a, aaaaaab=b⟩φ(a) = a, φ(b) = b