#17679 ⟨a, b | aaaa=1, babbb=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. b16 ⇒ b
  2. bab ⇒ ab14
  3. ba2b ⇒ a2b5
  4. ba3b ⇒ a3b8
  5. a4 ⇒ 1 
# ab:aaaa=1,babbb=ab b/a
bbbbbbbbbbbbbbbb=b
bab=abbbbbbbbbbbbbb
baab=aabbbbb
baaab=aaabbbbbbbb
aaaa=1

Right Cayley graph

Left Cayley graph

Other isomorphic instances

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

1 total

Σ#PresentationMapping
1117683⟨a, b | aaaa=1, bbabb=ab⟩φ(a) = aaa, φ(b) = b