#2104 ⟨a, b | aba=b, 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. a4 ⇒ a
  2. ba3 ⇒ b
  3. ab ⇒ ba2 
# ab:aba=b,aaaa=a a/b
aaaa=a
baaa=b
ab=baa

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.

1 total

Σ#PresentationMapping
1114338⟨a, b | aaaa=a, aabaa=b⟩φ(a) = a, φ(b) = b