#582 ⟨a, b | aab=a, aba=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. a2b ⇒ a
  2. aba ⇒ a 
# ab:aab=a,aba=a ab
aab=a
aba=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.

6 total

Σ#PresentationMapping
106330⟨a, b | aab=a, aabba=a⟩φ(a) = a, φ(b) = b
106336⟨a, b | aab=a, abaab=a⟩φ(a) = a, φ(b) = b
106456⟨a, b | aba=a, aabab=a⟩φ(a) = a, φ(b) = b
106462⟨a, b | aba=a, abaab=a⟩φ(a) = a, φ(b) = b
106614⟨a, b | aab=a, abaa=aa⟩φ(a) = a, φ(b) = b
106808⟨a, b | aab=a, aba=aab⟩φ(a) = a, φ(b) = b