#5297 ⟨a, b | aaa=aa, aab=bb⟩

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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. a3 ⇒ a2
  2. b2 ⇒ a2b
  3. ba2b ⇒ a2b 
# ab:aaa=aa,aab=bb a/b
aaa=aa
bb=aab
baab=aab

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.

1 total

Σ#PresentationMapping
1115951⟨a, b | aaa=aa, aaab=bb⟩φ(a) = a, φ(b) = b