#18415 ⟨a, b | aab=a, bbbbbbb=1⟩

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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. a8 ⇒ a
  2. ab ⇒ a7
  3. b7 ⇒ 1 
# ab:aab=a,bbbbbbb=1 a/b
aaaaaaaa=a
ab=aaaaaaa
bbbbbbb=1

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 8 total

Σ#PresentationDescriptionRelated
109737⟨a, b | aa=1, ababbba=b⟩Finite non-commutative monoid with 56 elements7 iso

Other isomorphic instances

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

1 total

Σ#PresentationMapping
1120447⟨a, b | ab=aa, bbbbbbb=1⟩φ(a) = a, φ(b) = bbbbbb