#5319 ⟨a, b | aaa=ab, abb=aa⟩

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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. a5 ⇒ a2
  2. ab ⇒ a3 
# ab:aaa=ab,abb=aa a/b
aaaaa=aa
ab=aaa

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.

3 total

Σ#PresentationMapping
1115985⟨a, b | aaa=ab, aaab=aa⟩φ(a) = a, φ(b) = b
1115989⟨a, b | aaa=ab, aaba=aa⟩φ(a) = a, φ(b) = b
1115997⟨a, b | aaa=ab, abaa=aa⟩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
1116286⟨a, b | aab=bb, aabb=ab⟩φ(a) = b, φ(b) = a
1116310⟨a, b | aab=bb, baab=ab⟩φ(a) = b, φ(b) = a