Back

〈a, b | aaa=1, ababbbb=1〉

Monoid presentation of length 10

Properties

Completion parameters

Inverses of generators

Complete rewriting system

  1. b30 ⇒ 1
  2. b3a ⇒ ab3
  3. a2 ⇒ bab4
  4. aba ⇒ b26
  5. ab2a ⇒ b2ab20

Right Cayley graph

Left Cayley graph

Others with same cardinality

4 unique, 8 total

Length:Presentation:Description:Related:
11 〈a, b | aaa=bb, ababab=1〉 Finite non-Abelian group with 120 elements
11 〈a, b | aaa=1, abababbb=1〉 Finite non-Abelian group with 120 elements 3 isomorphic
11 〈a, b | aaa=1, baabbbb=a〉 Finite non-Abelian group with 120 elements 1 isomorphic
11 〈a, b | aaa=1, bbababb=a〉 Finite non-Abelian group with 120 elements

Other isomorphic instances

4 total

Length:Presentation:
10〈a, b | aaa=1, abbbbab=1〉
10〈a, b | aaa=1, bababbb=1〉
10〈a, b | aaa=1, bbababb=1〉
11〈a, b | aaa=1, babbbb=aa〉