#2101 ⟨a, b | aba=a, babb=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. b2 ⇒ b
  2. aba ⇒ a
  3. bab ⇒ b 
# ab:aba=a,babb=b ab
bb=b
aba=a
bab=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
1114828⟨a, b | abba=a, babbb=b⟩φ(a) = a, φ(b) = b
1114830⟨a, b | abba=a, bbabb=b⟩φ(a) = a, φ(b) = b
1119149⟨a, b | aba=a, bababb=b⟩φ(a) = a, φ(b) = b
1119151⟨a, b | aba=a, babbab=b⟩φ(a) = a, φ(b) = b