#565 ⟨a, b | aaa=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. a3 ⇒ a
  2. aba ⇒ a 
# ab:aaa=a,aba=a ab
aaa=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.

7 total

Σ#PresentationMapping
106242⟨a, b | aaa=a, aaaba=a⟩φ(a) = a, φ(b) = b
106246⟨a, b | aaa=a, aabaa=a⟩φ(a) = a, φ(b) = b
106450⟨a, b | aba=a, aaaba=a⟩φ(a) = a, φ(b) = b
106454⟨a, b | aba=a, aabaa=a⟩φ(a) = a, φ(b) = b
106533⟨a, b | aaa=a, aaba=aa⟩φ(a) = a, φ(b) = b
106730⟨a, b | aba=a, aaab=ab⟩φ(a) = a, φ(b) = b
106799⟨a, b | aaa=a, aba=aaa⟩φ(a) = a, φ(b) = b