#2096 ⟨a, b | aba=a, abbb=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 ⇒ a
  2. ab3 ⇒ a 
# ab:aba=a,abbb=a ab
aba=a
abbb=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
1112520⟨a, b | abab=ab, abbb=a⟩φ(a) = a, φ(b) = b
1119128⟨a, b | aba=a, ababbb=a⟩φ(a) = a, φ(b) = b
1119696⟨a, b | aba=a, babbb=ba⟩φ(a) = a, φ(b) = b
1120222⟨a, b | aba=a, abbb=aba⟩φ(a) = a, φ(b) = b