#5390 ⟨a, b | aab=ba, aba=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. ba ⇒ a2
  2. a3 ⇒ a2
  3. a2b ⇒ a2 
# ab:aab=ba,aba=aa ab
ba=aa
aaa=aa
aab=aa

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
1116213⟨a, b | aab=ba, aaab=aa⟩φ(a) = a, φ(b) = b
1116217⟨a, b | aab=ba, aaba=aa⟩φ(a) = a, φ(b) = b
1116225⟨a, b | aab=ba, abaa=aa⟩φ(a) = a, φ(b) = b
1116241⟨a, b | aab=ba, baaa=aa⟩φ(a) = a, φ(b) = b
1116354⟨a, b | aba=aa, abab=ba⟩φ(a) = a, φ(b) = b