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〈a, b | aba=ab, bbbbbb=1〉

Monoid presentation of length 11

Properties

Completion parameters

Complete rewriting system

  1. a2 ⇒ a
  2. aba ⇒ ab
  3. ab2a ⇒ ab2
  4. ab3a ⇒ ab3
  5. ab4a ⇒ ab4
  6. b6 ⇒ 1
  7. ab5a ⇒ ab5

Idempotents

7 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 12 total

Length:Presentation:Description:Related:
10 〈a, b | aab=a, bbbbbb=1〉 Finite non-commutative monoid with 42 elements
10 〈a, b | ab=aa, bbbbbb=1〉 Finite non-commutative monoid with 42 elements
11 〈a, b | abab=a, bbbbbb=1〉 Finite non-commutative monoid with 42 elements
11 〈a, b | aaa=bb, aabaab=1〉 Finite non-Abelian group with 42 elements 1 isomorphic
11 〈a, b | ab=aa, bbbbbb=b〉 Finite non-commutative monoid with 42 elements
11 〈a, b | aa=1, abbabbbbb=1〉 Finite non-Abelian group with 42 elements 5 isomorphic