#5222 ⟨a, b | aba=aa, aaaa=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. aba ⇒ a2
  2. a4 ⇒ a 
# ab:aba=aa,aaaa=a ab
aba=aa
aaaa=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.

4 total

Σ#PresentationMapping
1114333⟨a, b | aaaa=a, aaaba=a⟩φ(a) = a, φ(b) = b
1114337⟨a, b | aaaa=a, aabaa=a⟩φ(a) = a, φ(b) = b
1115805⟨a, b | aba=aa, aaaba=a⟩φ(a) = a, φ(b) = b
1115809⟨a, b | aba=aa, aabaa=a⟩φ(a) = a, φ(b) = b