#5311 ⟨a, b | aaa=ab, aab=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. a4 ⇒ a2
  2. ab ⇒ a3 
# ab:aaa=ab,aab=aa a/b
aaaa=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.

5 total

Σ#PresentationMapping
105315⟨a, b | aaa=ab, aba=aa⟩φ(a) = a, φ(b) = b
1115981⟨a, b | aaa=ab, aaaa=aa⟩φ(a) = a, φ(b) = b
1116086⟨a, b | aab=aa, aaab=ab⟩φ(a) = a, φ(b) = b
1116090⟨a, b | aab=aa, aaba=ab⟩φ(a) = a, φ(b) = b
1116345⟨a, b | aba=aa, aaba=ab⟩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
1116346⟨a, b | aba=aa, aaba=ba⟩φ(a) = a, φ(b) = b