#964 ⟨a, b | aa=a, abb=ba⟩

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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. ab4 ⇒ ab2
  2. ba ⇒ ab2
  3. a2 ⇒ a 
# ab:aa=a,abb=ba b/a
abbbb=abb
ba=abb
aa=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
93013⟨a, b | aa=a, aabb=ba⟩φ(a) = a, φ(b) = b
93143⟨a, b | aa=a, baa=abb⟩φ(a) = a, φ(b) = b
108853⟨a, b | aa=a, aaabb=ba⟩φ(a) = a, φ(b) = b
109138⟨a, b | aa=a, aabb=baa⟩φ(a) = a, φ(b) = b
1124601⟨a, b | aa=a, aaaabb=ba⟩φ(a) = a, φ(b) = b
1125142⟨a, b | aa=a, aaabb=baa⟩φ(a) = a, φ(b) = b
1125687⟨a, b | aa=a, baaa=aabb⟩φ(a) = a, φ(b) = b

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

2 total

Σ#PresentationMapping
109124⟨a, b | aa=a, aaab=bba⟩φ(a) = a, φ(b) = b
1125128⟨a, b | aa=a, aaaab=bba⟩φ(a) = a, φ(b) = b