#5088 ⟨a, b | aaa=bb, baab=a⟩

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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. a13 ⇒ a
  2. ab ⇒ ba5
  3. b2 ⇒ a3 
# ab:aaa=bb,baab=a a/b
aaaaaaaaaaaaa=a
ab=baaaaa
bb=aaa

Right Cayley graph

Left Cayley graph

Others with same cardinality

5 unique, 25 total

Σ#PresentationDescriptionRelated
93645⟨a, b | aa=1, abab=bbb⟩Finite non-commutative monoid with 26 elements12 iso, 7 anti-iso
107050⟨a, b | bb=aa, ababa=a⟩Finite non-commutative monoid with 26 elements
1115941⟨a, b | aba=bb, bbabb=a⟩Finite non-commutative monoid with 26 elements
1119766⟨a, b | aba=b, babbb=aa⟩Finite non-commutative monoid with 26 elements
1126639⟨a, b | aa=1, abbbbbbb=b⟩Finite non-commutative monoid with 26 elements1 iso

Other isomorphic instances

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

1 total

Σ#PresentationMapping
107051⟨a, b | bb=aa, ababa=b⟩φ(a) = b, φ(b) = baa