#4413 ⟨a, b | aaab=a, bbbbb=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. a11 ⇒ a
  2. ab ⇒ a9
  3. b5 ⇒ 1 
# ab:aaab=a,bbbbb=1 a/b
aaaaaaaaaaa=a
ab=aaaaaaaaa
bbbbb=1

Right Cayley graph

Left Cayley graph

Others with same cardinality

1 unique, 1 total

Σ#PresentationDescriptionRelated
1115504⟨a, b | aaa=ab, bbbbb=b⟩Finite non-commutative monoid with 55 elements

Other isomorphic instances

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

5 total

Σ#PresentationMapping
104801⟨a, b | aaa=ab, bbbbb=1⟩φ(a) = a, φ(b) = bbbb
1111279⟨a, b | aaabb=a, bbbbb=1⟩φ(a) = a, φ(b) = bbb
1111475⟨a, b | abaab=a, bbbbb=1⟩φ(a) = a, φ(b) = bbb
1111883⟨a, b | aaba=ab, bbbbb=1⟩φ(a) = bbba, φ(b) = b
1112755⟨a, b | abb=aaa, bbbbb=1⟩φ(a) = a, φ(b) = bb