#12553 ⟨a, b | abab=bb, bbbb=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. a2b ⇒ b
  2. bab ⇒ ab2
  3. b4 ⇒ b 
# ab:abab=bb,bbbb=b ab
aab=b
bab=abb
bbbb=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.

4 total

Σ#PresentationMapping
1119007⟨a, b | aab=b, ababbb=b⟩φ(a) = a, φ(b) = b
1119015⟨a, b | aab=b, abbabb=b⟩φ(a) = a, φ(b) = b
1119597⟨a, b | aab=b, babbb=ab⟩φ(a) = a, φ(b) = b
1119613⟨a, b | aab=b, bbabb=ab⟩φ(a) = a, φ(b) = b