#1986 ⟨a, b | aaa=a, aabb=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. ab2 ⇒ a2 
# ab:aaa=a,aabb=a ab
aaa=a
abb=aa

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
1112152⟨a, b | aaaa=aa, aabb=a⟩φ(a) = a, φ(b) = b
1112244⟨a, b | aaab=ab, aabb=a⟩φ(a) = a, φ(b) = b
1114695⟨a, b | aabb=a, abbbb=a⟩φ(a) = a, φ(b) = b
1118694⟨a, b | aaa=a, aaaabb=a⟩φ(a) = a, φ(b) = b
1119243⟨a, b | aaa=a, aaabb=aa⟩φ(a) = a, φ(b) = b
1119779⟨a, b | aaa=a, aaaa=abb⟩φ(a) = a, φ(b) = b
1119798⟨a, b | aaa=a, aabb=aaa⟩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.

1 total

Σ#PresentationMapping
1112262⟨a, b | aaab=ab, bbaa=a⟩φ(a) = a, φ(b) = b