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〈a, b | aa=1, abbabbbbb=1〉

Monoid presentation of length 11

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. b21 ⇒ 1
  2. ba ⇒ ab8
  3. a2 ⇒ 1

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 7 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 | aba=ab, bbbbbb=1〉 Finite non-commutative monoid with 42 elements
11 〈a, b | ab=aa, bbbbbb=b〉 Finite non-commutative monoid with 42 elements

Other isomorphic instances

5 total

Length:Presentation:
11〈a, b | aa=1, abbbbbabb=1〉
11〈a, b | aa=1, babbabbbb=1〉
11〈a, b | aa=1, babbbbbab=1〉
11〈a, b | aa=1, bbabbabbb=1〉
11〈a, b | aa=1, bbabbbbb=a〉