#5308 ⟨a, b | aaa=aa, 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. b6 ⇒ b3
  2. ab3 ⇒ b3
  3. b3a ⇒ b3
  4. a2 ⇒ b3 
# ab:aaa=aa,bbb=aa b/a
bbbbbb=bbb
abbb=bbb
bbba=bbb
aa=bbb

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
1116051⟨a, b | aaa=bb, aaab=bb⟩φ(a) = b, φ(b) = a
1116477⟨a, b | aaa=aa, bbb=aaa⟩φ(a) = a, φ(b) = b
1116489⟨a, b | aaa=bb, bbb=aaa⟩φ(a) = b, φ(b) = a