#12699 ⟨a, b | aba=aab, aabbb=1⟩

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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 ⇒ aba
  2. abab2 ⇒ 1
  3. (ab)3 ⇒ a 
# ab:aba=aab,aabbb=1 ba
aab=aba
ababb=1
ababab=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
1112703⟨a, b | aba=aab, ababb=1⟩φ(a) = a, φ(b) = b