#5332 ⟨a, b | aaa=ab, bba=ab⟩

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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. a6 ⇒ a4
  2. ab ⇒ a3
  3. b2a ⇒ a3 
# ab:aaa=ab,bba=ab a/b
aaaaaa=aaaa
ab=aaa
bba=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.

2 total

Σ#PresentationMapping
1116483⟨a, b | aaa=ab, bba=aaa⟩φ(a) = a, φ(b) = b
1116516⟨a, b | aab=ba, bbb=aab⟩φ(a) = b, φ(b) = a