#5415 ⟨a, b | aba=aa, bab=aa⟩

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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 ⇒ a3
  2. aba ⇒ a2
  3. ba2 ⇒ a3
  4. bab ⇒ a2
  5. a4 ⇒ a3 
# ab:aba=aa,bab=aa ab
aab=aaa
aba=aa
baa=aaa
bab=aa
aaaa=aaa

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.

2 total

Σ#PresentationMapping
1116531⟨a, b | aba=aa, bab=aba⟩φ(a) = a, φ(b) = b
1116550⟨a, b | aba=bb, bab=aba⟩φ(a) = b, φ(b) = a