#9176 ⟨a, b | aa=a, babb=bba⟩

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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 ⇒ a
  2. bab2 ⇒ b2a
  3. b(ba)2 ⇒ b3a
  4. b4a ⇒ b3a 
# ab:aa=a,babb=bba ab
aa=a
babb=bba
bbaba=bbba
bbbba=bbba

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
1125232⟨a, b | aa=a, baabb=bba⟩φ(a) = a, φ(b) = b
1125713⟨a, b | aa=a, bbaa=babb⟩φ(a) = a, φ(b) = b