#5419 ⟨a, b | aba=ab, bab=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. aba ⇒ ab
  2. ab2 ⇒ a2b
  3. bab ⇒ ab
  4. a3b ⇒ a2b
  5. ba2b ⇒ a2b 
# ab:aba=ab,bab=ab ab
aba=ab
abb=aab
bab=ab
aaab=aab
baab=aab

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.

2 total

Σ#PresentationMapping
1116414⟨a, b | aba=ab, baba=ab⟩φ(a) = a, φ(b) = b
1116539⟨a, b | aba=ab, bab=aba⟩φ(a) = a, φ(b) = b