#20103 ⟨a, b | aab=b, abba=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. b8 ⇒ b3
  2. bab3 ⇒ ab7
  3. b2a ⇒ ab3
  4. a2b ⇒ b 
# ab:aab=b,abba=bbb b/a
bbbbbbbb=bbb
babbb=abbbbbbb
bba=abbb
aab=b

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
1120110⟨a, b | aab=b, abbb=bba⟩φ(a) = a, φ(b) = b