#854 ⟨a, b | ababbaba=b⟩

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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. b3aba ⇒ abab3
  2. a(bab)2a ⇒ b
  3. (b2a)2ba ⇒ ab(ab2)2 
# ab:ababbaba=b ab
bbbaba=ababbb
ababbaba=b
bbabbaba=ababbabb

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
101802⟨a, b | abbaaabba=b⟩φ(a) = a, φ(b) = bab