#5266 ⟨a, b | aba=ab, bbaa=a⟩

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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. aba ⇒ ab
  3. ab2 ⇒ a
  4. b2a ⇒ a 
# ab:aba=ab,bbaa=a ab
aa=a
aba=ab
abb=a
bba=a

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.

3 total

Σ#PresentationMapping
1112510⟨a, b | abab=aa, bbaa=a⟩φ(a) = a, φ(b) = b
1114777⟨a, b | abab=a, bbaaa=a⟩φ(a) = a, φ(b) = b
1115889⟨a, b | aba=ab, bbaaa=a⟩φ(a) = a, φ(b) = b