Back

〈a, b | aaa=1, bbabb=ab〉

Monoid presentation of length 10

Properties

Completion parameters

Complete rewriting system

  1. b10 ⇒ b
  2. bab ⇒ ab5
  3. ba2b ⇒ a2b8
  4. a3 ⇒ 1

Idempotents

4 elements

Right Cayley graph

Left Cayley graph

Others with same cardinality

6 unique, 26 total

Length:Presentation:Description:Related:
9 〈a, b | aaa=1, babbb=a〉 Finite non-Abelian group with 84 elements 2 isomorphic, 1 anti-isomorphic
10 〈a, b | aaa=1, aababbb=1〉 Finite non-Abelian group with 84 elements 2 isomorphic, 4 anti-isomorphic
10 〈a, b | aaa=1, bababb=a〉 Finite non-Abelian group with 84 elements 5 isomorphic, 3 anti-isomorphic
10 〈a, b | aaa=1, babbb=ab〉 Finite non-commutative monoid with 84 elements 3 isomorphic
11 〈a, b | aaa=1, baababb=a〉 Finite non-Abelian group with 84 elements
11 〈a, b | aaa=1, baabbab=a〉 Finite non-Abelian group with 84 elements

Other isomorphic instances

3 total

Length:Presentation:
11〈a, b | aaa=1, aabbabb=b〉
11〈a, b | aaa=1, abaabbb=b〉
11〈a, b | aaa=1, abbabab=b〉