#8606 ⟨a, b | aa=a, ababba=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. a2 ⇒ a
  2. abab2a ⇒ a 
# ab:aa=a,ababba=a ab
aa=a
ababba=a

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
1124086⟨a, b | aa=a, aababba=a⟩φ(a) = a, φ(b) = b
1124112⟨a, b | aa=a, abaabba=a⟩φ(a) = a, φ(b) = b
1124661⟨a, b | aa=a, ababba=aa⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1124092⟨a, b | aa=a, aabbaba=a⟩φ(a) = a, φ(b) = b