#27641 ⟨a, b | aa=1, ababab=bbb⟩

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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 ⇒ 1
  2. b(ab)2 ⇒ ab3
  3. b3ab ⇒ ab4
  4. b2ab3 ⇒ abab4 
# ab:aa=1,ababab=bbb reversed:a/b
aa=1
babab=abbb
bbbab=abbbb
bbabbb=ababbbb

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
1128256⟨a, b | aa=1, babab=abbb⟩φ(a) = a, φ(b) = b