#5352 ⟨a, b | aaa=bb, bbb=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. a7 ⇒ a2
  2. ba2 ⇒ a6
  3. a2b ⇒ a6
  4. b2 ⇒ a3 
# ab:aaa=bb,bbb=aa a/b
aaaaaaa=aa
baa=aaaaaa
aab=aaaaaa
bb=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.

1 total

Σ#PresentationMapping
1116048⟨a, b | aaa=bb, aaab=aa⟩φ(a) = a, φ(b) = b