#22315 ⟨a, b | aaa=1, babbbb=ab⟩

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Properties

Element profile

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. b29 ⇒ b
  2. bab ⇒ ab26
  3. ba2b ⇒ a2b10
  4. a3 ⇒ 1 
# ab:aaa=1,babbbb=ab b/a
bbbbbbbbbbbbbbbbbbbbbbbbbbbbb=b
bab=abbbbbbbbbbbbbbbbbbbbbbbbbb
baab=aabbbbbbbbbb
aaa=1

Right Cayley graph

Left Cayley graph

Other anti-isomorphic instances

The mapping is from the listed presentation's alphabet to the current rewriting system's alphabet.

1 total

Σ#PresentationMapping
1122323⟨a, b | aaa=1, bbabbb=ba⟩φ(a) = aa, φ(b) = b