#9478 ⟨a, b | aa=1, abbbabbb=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. a2 ⇒ 1
  2. cac ⇒ a
  3. cb ⇒ bc
  4. cab ⇒ abaca
  5. b3 ⇒ c 
# ab:aa=1,abbbabbb=1 ac/b bbb=c frequency:3/1
aa=1
cac=a
cb=bc
cab=abaca
bbb=c

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.

2 total

Σ#PresentationMapping
109507⟨a, b | aa=1, babbbabb=1⟩φ(a) = a, φ(b) = b
109796⟨a, b | aa=1, bbbabbb=a⟩φ(a) = a, φ(b) = b