#10279 ⟨a, b | aa=1, ababb=bab⟩

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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. bab2 ⇒ (ab)2
  3. b2(ab)2 ⇒ ab3ab
  4. b4ab ⇒ b2ab
  5. b(ab)3 ⇒ ab2ab 
# ab:aa=1,ababb=bab ab
aa=1
babb=abab
bbabab=abbbab
bbbbab=bbab
bababab=abbab

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
1010517⟨a, b | aa=1, babb=abab⟩φ(a) = a, φ(b) = b