#5201 ⟨a, b | aab=bb, abab=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 ⇒ b2
  2. bab ⇒ ab2
  3. b3 ⇒ b 
# ab:aab=bb,abab=b ab
aab=bb
bab=abb
bbb=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
1112258⟨a, b | aaab=ab, baba=a⟩φ(a) = b, φ(b) = a
1112384⟨a, b | aaba=ba, abba=a⟩φ(a) = b, φ(b) = a
1112392⟨a, b | aaba=ba, baba=a⟩φ(a) = b, φ(b) = a
1112396⟨a, b | aaba=ba, bbaa=a⟩φ(a) = b, φ(b) = a