#12236 ⟨a, b | aaab=aa, bbab=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. a5 ⇒ a2
  2. a2b ⇒ a4
  3. b2a2 ⇒ aba3
  4. (ab)2 ⇒ aba3
  5. b2ab ⇒ a 
# ab:aaab=aa,bbab=a a/b
aaaaa=aa
aab=aaaa
bbaa=abaaa
abab=abaaa
bbab=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.

1 total

Σ#PresentationMapping
1112346⟨a, b | aaba=aa, bbab=a⟩φ(a) = a, φ(b) = b