#19661 ⟨a, b | aba=a, aabbb=bb⟩

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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 ⇒ a
  2. ab2 ⇒ b2
  3. b3 ⇒ b2 
# ab:aba=a,aabbb=bb ab
aba=a
abb=bb
bbb=bb

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.

2 total

Σ#PresentationMapping
1119672⟨a, b | aba=a, ababb=bb⟩φ(a) = a, φ(b) = b
1119683⟨a, b | aba=a, abbbb=bb⟩φ(a) = a, φ(b) = b