#7142 ⟨a, b | bb=aa, aaab=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. a2 ⇒ b2
  2. ab2 ⇒ b2a
  3. b2ab ⇒ ab
  4. b5 ⇒ b3
  5. b4a ⇒ b2a 
# ab:bb=aa,aaab=ab ba
aa=bb
abb=bba
bbab=ab
bbbbb=bbb
bbbba=bba

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
107147⟨a, b | bb=aa, aaba=ba⟩φ(a) = b, φ(b) = a