#5388 ⟨a, b | aab=ab, bba=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. b4a ⇒ b2a
  2. ab ⇒ b2a
  3. b2a2 ⇒ b2a 
# ab:aab=ab,bba=ab reversed:b/a
bbbba=bba
ab=bba
bbaa=bba

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.

5 total

Σ#PresentationMapping
1116247⟨a, b | aab=ba, baab=ba⟩φ(a) = b, φ(b) = a
1116251⟨a, b | aab=ba, baba=ba⟩φ(a) = b, φ(b) = a
1116259⟨a, b | aab=ba, bbaa=ba⟩φ(a) = b, φ(b) = a
1116505⟨a, b | aab=ab, bba=aab⟩φ(a) = a, φ(b) = b
1116514⟨a, b | aab=ba, bba=aab⟩φ(a) = b, φ(b) = a